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56558461014 = 232111989251673
BaseRepresentation
bin110100101011001001…
…011010000001010110
312101222122201111210100
4310223021122001112
51411312431223024
641552124034530
74041366662226
oct645311320126
9171878644710
1056558461014
1121a9385a970
12ab65392a46
13544474c1a3
142a47792086
1517105427c9
hexd2b25a056

56558461014 has 192 divisors, whose sum is σ = 143079955200. Its totient is φ = 15966720000.

The previous prime is 56558461013. The next prime is 56558461031. The reversal of 56558461014 is 41016485565.

56558461014 is a `hidden beast` number, since 5 + 6 + 5 + 584 + 61 + 0 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56558461013) 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, 84038982 + ... + 84039654.

It is an arithmetic number, because the mean of its divisors is an integer number (745208100).

Almost surely, 256558461014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56558461014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71539977600).

56558461014 is an abundant number, since it is smaller than the sum of its proper divisors (86521494186).

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

56558461014 is a wasteful number, since it uses less digits than its factorization.

56558461014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 56558461014 in words is "fifty-six billion, five hundred fifty-eight million, four hundred sixty-one thousand, fourteen".