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56658428708112 = 2432711171553193549
BaseRepresentation
bin11001110000111110100011…
…00001000100010100010000
321102121111022022110210000200
430320133101201010110100
524411242430222124422
6320300304532415200
714635302452543160
oct1470372141042420
9242544268423020
1056658428708112
1117064782a18260
126430949177500
13257cb3677662a
14ddc3d55905a0
15683c3828a2ac
hex3387d1844510

56658428708112 has 480 divisors, whose sum is σ = 209456081452800. Its totient is φ = 13841809735680.

The previous prime is 56658428708093. The next prime is 56658428708117. The reversal of 56658428708112 is 21180782485665.

56658428708112 is a `hidden beast` number, since 5 + 6 + 6 + 58 + 428 + 70 + 81 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 56658428708112.

It is not an unprimeable number, because it can be changed into a prime (56658428708117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292637514 + ... + 292831062.

It is an arithmetic number, because the mean of its divisors is an integer number (436366836360).

Almost surely, 256658428708112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56658428708112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104728040726400).

56658428708112 is an abundant number, since it is smaller than the sum of its proper divisors (152797652744688).

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

56658428708112 is a wasteful number, since it uses less digits than its factorization.

56658428708112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195151 (or 195142 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 56658428708112 in words is "fifty-six trillion, six hundred fifty-eight billion, four hundred twenty-eight million, seven hundred eight thousand, one hundred twelve".