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113654980764 = 22331381179973
BaseRepresentation
bin110100111011001011…
…1010110000010011100
3101212100210220020102000
41221312113112002130
53330231133341024
6124113512402300
711132322253023
oct1516627260234
9355323806360
10113654980764
1144223301276
121a03a9a6390
13a9437ba510
1457027a58ba
152e52e19cc9
hex1a765d609c

113654980764 has 96 divisors (see below), whose sum is σ = 317398213440. Its totient is φ = 34962948864.

The previous prime is 113654980757. The next prime is 113654980771. The reversal of 113654980764 is 467089456311.

113654980764 is a `hidden beast` number, since 1 + 1 + 36 + 549 + 8 + 0 + 7 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (113654980757) and next prime (113654980771).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113654980764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11391282 + ... + 11401254.

It is an arithmetic number, because the mean of its divisors is an integer number (3306231390).

Almost surely, 2113654980764 is an apocalyptic number.

It is an amenable number.

113654980764 is an abundant number, since it is smaller than the sum of its proper divisors (203743232676).

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

113654980764 is a wasteful number, since it uses less digits than its factorization.

113654980764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18116 (or 18108 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 113654980764 in words is "one hundred thirteen billion, six hundred fifty-four million, nine hundred eighty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 8117 9973 16234 19946 24351 29919 32468 39892 48702 59838 73053 89757 97404 105521 119676 129649 146106 179514 211042 219159 259298 269271 292212 316563 359028 388947 422084 438318 518596 538542 633126 777894 876636 949689 1077084 1166841 1266252 1555788 1899378 2333682 2849067 3500523 3798756 4667364 5698134 7001046 11396268 14002092 80950841 161901682 242852523 323803364 485705046 728557569 971410092 1052360933 1457115138 2104721866 2185672707 2914230276 3157082799 4209443732 4371345414 6314165598 8742690828 9471248397 12628331196 18942496794 28413745191 37884993588 56827490382 113654980764