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Cardinal | sixty-five thousand five hundred thirty-six | |||

Ordinal | 65536th (sixty-five thousand five hundred and thirty-sixth) | |||

Factorization | 2^{16} | |||

Divisors | 17 total | |||

Roman numeral | LXVDXXXVI | |||

Binary | 10000000000000000_{2} | |||

Ternary | 10022220021_{3} | |||

Quaternary | 100000000_{4} | |||

Quinary | 4044121_{5} | |||

Senary | 1223224_{6} | |||

Octal | 200000_{8} | |||

Duodecimal | 31B14_{12} | |||

Hexadecimal | 10000_{16} | |||

Vigesimal | 83GG_{20} | |||

Base 36 | 1EKG_{36} |

| ||||
---|---|---|---|---|

Cardinal | sixty-five thousand five hundred thirty-six | |||

Ordinal | 65536th (sixty-five thousand five hundred and thirty-sixth) | |||

Factorization | 2^{16} | |||

Divisors | 17 total | |||

Roman numeral | LXVDXXXVI | |||

Binary | 10000000000000000_{2} | |||

Ternary | 10022220021_{3} | |||

Quaternary | 100000000_{4} | |||

Quinary | 4044121_{5} | |||

Senary | 1223224_{6} | |||

Octal | 200000_{8} | |||

Duodecimal | 31B14_{12} | |||

Hexadecimal | 10000_{16} | |||

Vigesimal | 83GG_{20} | |||

Base 36 | 1EKG_{36} |

**65536** is the natural number following 65535 and preceding 65537.

65536 is a power of two: (2 to the 16th power).

65536 is the smallest number with *exactly* 17 divisors.^{[1]}

65536 is , so in tetration notation 65536 is .

When expressed using Knuth's up-arrow notation, 65536 is , which is equal to , which is equivalent to or .

65536 is a superperfect number - a number such that σ(σ(*n*))=2*n*.^{[2]}

A 16-bit number can distinguish 65536 different possibilities, such as the numbers 0..65535. In unsigned binary notation, 65536 is thus the smallest number that can *not* be represented by 16 bits.

65536 is the only power of 2 less than 2^{31000} that does not contain the digits 1, 2, 4 or 8 in its decimal representation.^{[3]}

65536 is the largest known number such that the sum of its unitary divisors is prime (1 + 65536 = 65537, which is prime).^{[4]}

65536 (2^{16}) is the number of different values representable in a number of 16 binary digits, also known as a short integer in many computer programming systems. Therefore,

- The Motorola 68000 family, x86 architecture, and other computing platforms have a word size of 16 bits, representing 65536 possible values. (32- or 64-bit operations are supported equally or better in modern microprocessors.)
- 65536 is the maximum number of spreadsheet rows supported by Excel 97, Excel 2000, Excel 2002 and Excel 2003 (Excel 2007, 2010 and 2013 support 1,048,576 rows (2
^{20})). Text files that are larger than 65536 rows cannot be imported to these versions of Excel.^{[5]} - A 16-bit microprocessor chip can directly access 65536 memory addresses, and the 16-bit highcolor graphics standard supports a color palette of 65536 different colors.
- TCP supports 65536 distinct ports (0-65535).
- As with TCP, UDP also supports 65536 ports (0-65545).
- Unreal Engine 2 only allows a view distance of 65536 UU, or Unreal Units.

There are 65536 different charts in Western geomancy.

**^**Sequence A005179 in OEIS**^**Weisstein, Eric W., "Superperfect Number",*MathWorld*.**^**Wells, David (1997).*The Penguin Dictionary of Curious and Interesting Numbers*(revised ed.). Penguin. ISBN 0-14-026149-4.**^**65536 at Prime Pages**^**Microsoft Help Q120596