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56838446496 = 25351319101293
BaseRepresentation
bin110100111011110101…
…011101110110100000
312102201011120020200000
4310323311131312200
51412401120241441
642040005100000
74051336552356
oct647365356640
9172634506600
1056838446496
1122117904127
12b0230b7600
13548a760080
142a72a357d6
151729deb2b6
hexd3bd5dda0

56838446496 has 576 divisors, whose sum is σ = 192551748480. Its totient is φ = 16348262400.

The previous prime is 56838446479. The next prime is 56838446531. The reversal of 56838446496 is 69464483865.

56838446496 is a `hidden beast` number, since 5 + 6 + 8 + 3 + 84 + 464 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193987726 + ... + 193988018.

It is an arithmetic number, because the mean of its divisors is an integer number (334291230).

Almost surely, 256838446496 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 56838446496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96275874240).

56838446496 is an abundant number, since it is smaller than the sum of its proper divisors (135713301984).

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

56838446496 is a wasteful number, since it uses less digits than its factorization.

56838446496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 56838446496 in words is "fifty-six billion, eight hundred thirty-eight million, four hundred forty-six thousand, four hundred ninety-six".