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56882220840 = 23345374171163
BaseRepresentation
bin110100111110011100…
…011100111100101000
312102211012221012210000
4310332130130330220
51412443322031330
642044211223000
74052410620354
oct647634347450
9172735835700
1056882220840
112213a592475
12b0358a7a60
135496848853
142a7878c464
15172db96560
hexd3e71cf28

56882220840 has 640 divisors, whose sum is σ = 205228235520. Its totient is φ = 14108774400.

The previous prime is 56882220827. The next prime is 56882220883. The reversal of 56882220840 is 4802228865.

56882220840 is a `hidden beast` number, since 568 + 8 + 2 + 2 + 2 + 0 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 348970599 + ... + 348970761.

It is an arithmetic number, because the mean of its divisors is an integer number (320669118).

Almost surely, 256882220840 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 56882220840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102614117760).

56882220840 is an abundant number, since it is smaller than the sum of its proper divisors (148346014680).

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

56882220840 is a wasteful number, since it uses less digits than its factorization.

56882220840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 56882220840 in words is "fifty-six billion, eight hundred eighty-two million, two hundred twenty thousand, eight hundred forty".