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113676188076 = 223311263363829
BaseRepresentation
bin110100111011110100…
…0001111100110101100
3101212102021210200101000
41221313220033212230
53330302101004301
6124115551120300
711133000440643
oct1516750174654
9355367720330
10113676188076
1144234276680
121a045b13090
13a948004319
14570552635a
152e54c08786
hex1a77a0f9ac

113676188076 has 96 divisors (see below), whose sum is σ = 322731763200. Its totient is φ = 34316256960.

The previous prime is 113676188069. The next prime is 113676188077. The reversal of 113676188076 is 670881676311.

113676188076 is a `hidden beast` number, since 1 + 13 + 6 + 7 + 618 + 8 + 0 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (113676188077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130530 + ... + 494358.

It is an arithmetic number, because the mean of its divisors is an integer number (3361789200).

Almost surely, 2113676188076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113676188076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161365881600).

113676188076 is an abundant number, since it is smaller than the sum of its proper divisors (209055575124).

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

113676188076 is a wasteful number, since it uses less digits than its factorization.

113676188076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364116 (or 364108 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 113676188076 in words is "one hundred thirteen billion, six hundred seventy-six million, one hundred eighty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 263 297 396 526 594 789 1052 1188 1578 2367 2893 3156 4734 5786 7101 8679 9468 11572 14202 17358 26037 28404 34716 52074 78111 104148 156222 312444 363829 727658 1091487 1455316 2182974 3274461 4002119 4365948 6548922 8004238 9823383 12006357 13097844 16008476 19646766 24012714 36019071 39293532 48025428 72038142 95687027 108057213 144076284 191374054 216114426 287061081 382748108 432228852 574122162 861183243 1052557297 1148244324 1722366486 2105114594 2583549729 3157671891 3444732972 4210229188 5167099458 6315343782 9473015673 10334198916 12630687564 18946031346 28419047019 37892062692 56838094038 113676188076