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56347850880 = 27365235989
BaseRepresentation
bin110100011110100101…
…111111100010000000
312101102222102102000000
4310132211333202000
51410400022212010
641515202000000
74033231554426
oct643645774200
9171388372000
1056347850880
1121995990402
12ab06946000
13540cc1b6c9
142a2780b116
1516ebcde7c0
hexd1e97f880

56347850880 has 896 divisors, whose sum is σ = 216728784000. Its totient is φ = 13970423808.

The previous prime is 56347850873. The next prime is 56347850929. The reversal of 56347850880 is 8805874365.

56347850880 is a `hidden beast` number, since 5 + 63 + 4 + 78 + 508 + 8 + 0 = 666.

56347850880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 633121876 + ... + 633121964.

Almost surely, 256347850880 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 56347850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108364392000).

56347850880 is an abundant number, since it is smaller than the sum of its proper divisors (160380933120).

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

56347850880 is an equidigital number, since it uses as much as digits as its factorization.

56347850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 56347850880 in words is "fifty-six billion, three hundred forty-seven million, eight hundred fifty thousand, eight hundred eighty".