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56990654968896 = 26331122713208131
BaseRepresentation
bin11001111010101001010111…
…01111101011010001000000
321110210020211201210110211000
430331110223233223101000
524432213330133001041
6321113051230252000
715001303362266565
oct1475245357532100
9243706751713730
1056990654968896
1117182667a94230
126485207057000
1325a5270c649ac
14101051069286c
1568c6cec2abb6
hex33d52bbeb440

56990654968896 has 224 divisors, whose sum is σ = 183578241692160. Its totient is φ = 17193815308800.

The previous prime is 56990654968889. The next prime is 56990654968901. The reversal of 56990654968896 is 69886945609965.

56990654968896 is a `hidden beast` number, since 56 + 9 + 9 + 0 + 6 + 549 + 6 + 8 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2289250 + ... + 10918881.

It is an arithmetic number, because the mean of its divisors is an integer number (819545721840).

Almost surely, 256990654968896 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 56990654968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91789120846080).

56990654968896 is an abundant number, since it is smaller than the sum of its proper divisors (126587586723264).

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

56990654968896 is a wasteful number, since it uses less digits than its factorization.

56990654968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208390 (or 13208374 counting only the distinct ones).

The product of its (nonzero) digits is 54419558400, while the sum is 90.

The spelling of 56990654968896 in words is "fifty-six trillion, nine hundred ninety billion, six hundred fifty-four million, nine hundred sixty-eight thousand, eight hundred ninety-six".