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56780178840 = 233257311172459
BaseRepresentation
bin110100111000010111…
…001100010110011000
312102120002220221110200
4310320113030112120
51412241211210330
642030124142200
74050031362000
oct647027142630
9172502827420
1056780178840
1122097a26840
12b007697960
13547b66b778
142a68dc9000
151724c3ba60
hexd385cc598

56780178840 has 768 divisors, whose sum is σ = 248676480000. Its totient is φ = 11099934720.

The previous prime is 56780178827. The next prime is 56780178877. The reversal of 56780178840 is 4887108765.

It is a happy number.

56780178840 is a `hidden beast` number, since 567 + 8 + 0 + 1 + 78 + 8 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23089531 + ... + 23091989.

It is an arithmetic number, because the mean of its divisors is an integer number (323797500).

Almost surely, 256780178840 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 56780178840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124338240000).

56780178840 is an abundant number, since it is smaller than the sum of its proper divisors (191896301160).

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

56780178840 is a wasteful number, since it uses less digits than its factorization.

56780178840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 56780178840 in words is "fifty-six billion, seven hundred eighty million, one hundred seventy-eight thousand, eight hundred forty".