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23525817516964 = 22723464532
BaseRepresentation
bin1010101100101100001111…
…11111110000001110100100
310002022001020200011020121101
411112112013333300032210
511040421333241020324
6122011340015525444
74645453455311200
oct526260777601644
9102261220136541
1023525817516964
117550274742894
12277b564829884
131018623971c59
145b4927129b00
152abe61a67944
hex156587ff03a4

23525817516964 has 27 divisors (see below), whose sum is σ = 47891981037537. Its totient is φ = 10082464119504.

The previous prime is 23525817516899. The next prime is 23525817516989. The reversal of 23525817516964 is 46961571852532.

It is a happy number.

The square root of 23525817516964 is 4850342.

It is a perfect power (a square), and thus also a powerful number.

23525817516964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17233706822500 + 6292110694464 = 4151350^2 + 2508408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23525817516896 and 23525817516905.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67731562 + ... + 68078014.

Almost surely, 223525817516964 is an apocalyptic number.

23525817516964 is the 4850342-nd square number.

It is an amenable number.

23525817516964 is an abundant number, since it is smaller than the sum of its proper divisors (24366163520573).

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

23525817516964 is an frugal number, since it uses more digits than its factorization.

23525817516964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692924 (or 346462 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 64.

The spelling of 23525817516964 in words is "twenty-three trillion, five hundred twenty-five billion, eight hundred seventeen million, five hundred sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 346453 692906 1385812 2425171 4850342 9700684 16976197 33952394 67904788 120029681209 240059362418 480118724836 840207768463 1680415536926 3360831073852 5881454379241 11762908758482 23525817516964