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113510485764 = 223213242543773
BaseRepresentation
bin110100110110111000…
…0001000111100000100
3101211222202000010112100
41221231300020330010
53324432141021024
6124051311352100
711125616131554
oct1515560107404
9354882003470
10113510485764
114415978a015
1219bba522630
13a91c898210
1456cb511164
152e453c67c9
hex1a6dc08f04

113510485764 has 36 divisors (see below), whose sum is σ = 309000768076. Its totient is φ = 34926303168.

The previous prime is 113510485747. The next prime is 113510485771. The reversal of 113510485764 is 467584015311.

113510485764 is a `hidden beast` number, since 1 + 1 + 35 + 1 + 0 + 48 + 576 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22064725764 + 91445760000 = 148542^2 + 302400^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121271419 + ... + 121272354.

Almost surely, 2113510485764 is an apocalyptic number.

It is an amenable number.

113510485764 is an abundant number, since it is smaller than the sum of its proper divisors (195490282312).

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

113510485764 is a wasteful number, since it uses less digits than its factorization.

113510485764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242543796 (or 242543791 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 113510485764 in words is "one hundred thirteen billion, five hundred ten million, four hundred eighty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 242543773 485087546 727631319 970175092 1455262638 2182893957 2910525276 3153069049 4365787914 6306138098 8731575828 9459207147 12612276196 18918414294 28377621441 37836828588 56755242882 113510485764