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72157235652 = 223213723146059
BaseRepresentation
bin100001100110011101…
…0000000100111000100
320220020202120100212100
41003030322000213010
52140234223020102
653052031552100
75133060245265
oct1031472004704
9226222510770
1072157235652
1128668973157
1211b9938b630
136a5c355158
1436c732096c
151d24bd1a1c
hex10cce809c4

72157235652 has 36 divisors (see below), whose sum is σ = 182411997040. Its totient is φ = 24050494512.

The previous prime is 72157235629. The next prime is 72157235663. The reversal of 72157235652 is 25653275127.

72157235652 is a `hidden beast` number, since 7 + 2 + 15 + 72 + 3 + 565 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72157235598 and 72157235607.

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, 420999 + ... + 567057.

Almost surely, 272157235652 is an apocalyptic number.

It is an amenable number.

72157235652 is an abundant number, since it is smaller than the sum of its proper divisors (110254761388).

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

72157235652 is a wasteful number, since it uses less digits than its factorization.

72157235652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159792 (or 159787 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The spelling of 72157235652 in words is "seventy-two billion, one hundred fifty-seven million, two hundred thirty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 13723 27446 41169 54892 82338 123507 146059 164676 247014 292118 438177 494028 584236 876354 1314531 1752708 2629062 5258124 2004367657 4008735314 6013102971 8017470628 12026205942 18039308913 24052411884 36078617826 72157235652