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56525242464 = 2532556335281
BaseRepresentation
bin110100101001001010…
…101100000001100000
312101220100012211111200
4310221022230001200
51411230430224324
641544540041200
74040514430155
oct645112540140
9171810184450
1056525242464
1121a77031319
12ab56233200
13543a8bb242
142a431c622c
15170c67eec9
hexd292ac060

56525242464 has 72 divisors (see below), whose sum is σ = 160777110312. Its totient is φ = 18837826560.

The previous prime is 56525242429. The next prime is 56525242481. The reversal of 56525242464 is 46424252565.

56525242464 is a `hidden beast` number, since 5 + 65 + 2 + 524 + 2 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×565252424642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1584504 + ... + 1619784.

It is an arithmetic number, because the mean of its divisors is an integer number (2233015421).

Almost surely, 256525242464 is an apocalyptic number.

It is an amenable number.

56525242464 is an abundant number, since it is smaller than the sum of its proper divisors (104251867848).

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

56525242464 is a wasteful number, since it uses less digits than its factorization.

56525242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40860 (or 40849 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 56525242464 in words is "fifty-six billion, five hundred twenty-five million, two hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5563 11126 16689 22252 33378 35281 44504 50067 66756 70562 89008 100134 105843 133512 141124 178016 200268 211686 267024 282248 317529 400536 423372 534048 564496 635058 801072 846744 1128992 1270116 1602144 1693488 2540232 3386976 5080464 10160928 196268203 392536406 588804609 785072812 1177609218 1570145624 1766413827 2355218436 3140291248 3532827654 4710436872 6280582496 7065655308 9420873744 14131310616 18841747488 28262621232 56525242464