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56009848896 = 26341921732
BaseRepresentation
bin110100001010011100…
…100111100001000000
312100120102102010110000
4310022130213201000
51404202010131041
641421445240000
74021655601051
oct641234474100
9170512363400
1056009848896
1121832110521
12aa31703000
135387ba6631
1429d4984728
1516cc2c5bb6
hexd0a727840

56009848896 has 315 divisors, whose sum is σ = 176247857181. Its totient is φ = 17585081856.

The previous prime is 56009848861. The next prime is 56009848919. The reversal of 56009848896 is 69884890065.

The square root of 56009848896 is 236664.

It is a perfect power (a square), and thus also a powerful number.

56009848896 is a `hidden beast` number, since 5 + 60 + 0 + 9 + 8 + 488 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50949518400 + 5060330496 = 225720^2 + 71136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 323756266 + ... + 323756438.

Almost surely, 256009848896 is an apocalyptic number.

56009848896 is the 236664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56009848896

56009848896 is an abundant number, since it is smaller than the sum of its proper divisors (120238008285).

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

56009848896 is an equidigital number, since it uses as much as digits as its factorization.

56009848896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 56009848896 in words is "fifty-six billion, nine million, eight hundred forty-eight thousand, eight hundred ninety-six".