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813116268 = 223229778847
BaseRepresentation
bin110000011101110…
…010101101101100
32002200000120211100
4300131302231230
53131124210033
6212403523100
726102242236
oct6035625554
92080016740
10813116268
11387a8a318
121a8389490
13cc5c5cb3
1479dc1256
154b5b8513
hex30772b6c

813116268 has 36 divisors (see below), whose sum is σ = 2126255040. Its totient is φ = 261692256.

The previous prime is 813116261. The next prime is 813116321. The reversal of 813116268 is 862611318.

813116268 is a `hidden beast` number, since 8 + 13 + 11 + 626 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×8131162682 = 1322316130572495648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (813116261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388380 + ... + 390467.

It is an arithmetic number, because the mean of its divisors is an integer number (59062640).

Almost surely, 2813116268 is an apocalyptic number.

It is an amenable number.

813116268 is an abundant number, since it is smaller than the sum of its proper divisors (1313138772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813116268 is a wasteful number, since it uses less digits than its factorization.

813116268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778886 (or 778881 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 813116268 is about 28515.1936342715. The cubic root of 813116268 is about 933.3636503191.

The spelling of 813116268 in words is "eight hundred thirteen million, one hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 778847 1557694 2336541 3115388 4673082 7009623 9346164 14019246 22586563 28038492 45173126 67759689 90346252 135519378 203279067 271038756 406558134 813116268