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52565125424032 = 2513169129747113
BaseRepresentation
bin10111111001110110001011…
…01000001110001110100000
320220010011202222012011002101
423330323011220032032200
523342211334102032112
6303444030225300144
714033463544652464
oct1374730550161640
9226104688164071
1052565125424032
1115826820a28361
125a8b582194654
132343b40696880
14cda2467604a4
15612515e52757
hex2fcec5a0e3a0

52565125424032 has 48 divisors (see below), whose sum is σ = 111448982703240. Its totient is φ = 24260651200512.

The previous prime is 52565125423991. The next prime is 52565125424047. The reversal of 52565125424032 is 23042452156525.

52565125424032 is digitally balanced in base 2, 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 4 ways, for example, as 24189517504656 + 28375607919376 = 4918284^2 + 5326876^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69984108 + ... + 70731220.

Almost surely, 252565125424032 is an apocalyptic number.

52565125424032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

52565125424032 is an abundant number, since it is smaller than the sum of its proper divisors (58883857279208).

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

52565125424032 is a wasteful number, since it uses less digits than its factorization.

52565125424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916265 (or 916257 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 46.

The spelling of 52565125424032 in words is "fifty-two trillion, five hundred sixty-five billion, one hundred twenty-five million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 169129 338258 676516 747113 1353032 1494226 2198677 2706064 2988452 4397354 5412128 5976904 8794708 9712469 11953808 17589416 19424938 23907616 35178832 38849876 70357664 77699752 155399504 310799008 126358474577 252716949154 505433898308 1010867796616 1642660169501 2021735593232 3285320339002 4043471186464 6570640678004 13141281356008 26282562712016 52565125424032