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12315505085496 = 2332192473819063
BaseRepresentation
bin1011001100110110110101…
…0011100100110000111000
31121121100110201120002021100
42303031231103210300320
53103234123300213441
642105355343011400
72410523461001634
oct263155523446070
947540421502240
1012315505085496
113a18a81613348
12146a9b1899b60
136b44688b02a2
14308106061dc4
1516554b913cb6
hexb336d4e4c38

12315505085496 has 72 divisors (see below), whose sum is σ = 35202387359880. Its totient is φ = 3889106860896.

The previous prime is 12315505085491. The next prime is 12315505085651. The reversal of 12315505085496 is 69458050551321.

12315505085496 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 550 + 5 + 0 + 85 + 4 + 9 + 6 = 666.

12315505085496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315505085491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 236883540 + ... + 236935523.

It is an arithmetic number, because the mean of its divisors is an integer number (488922046665).

Almost surely, 212315505085496 is an apocalyptic number.

It is an amenable number.

12315505085496 is an abundant number, since it is smaller than the sum of its proper divisors (22886882274384).

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

12315505085496 is a wasteful number, since it uses less digits than its factorization.

12315505085496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473819113 (or 473819087 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 12315505085496 in words is "twelve trillion, three hundred fifteen billion, five hundred five million, eighty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8664 12996 25992 473819063 947638126 1421457189 1895276252 2842914378 3790552504 4264371567 5685828756 8528743134 9002562197 11371657512 17057486268 18005124394 27007686591 34114972536 36010248788 54015373182 72020497576 81023059773 108030746364 162046119546 171048681743 216061492728 324092239092 342097363486 513146045229 648184478184 684194726972 1026292090458 1368389453944 1539438135687 2052584180916 3078876271374 4105168361832 6157752542748 12315505085496