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56823213408 = 25313223295989
BaseRepresentation
bin110100111010111011…
…010110110101100000
312102200002220022210120
4310322323112311200
51412333220312113
642034302400240
74051063226133
oct647273266540
9172602808716
1056823213408
112210a24a2a5
12b019b90080
135487558600
142a709cc21a
1517288dca23
hexd3aed6d60

56823213408 has 576 divisors, whose sum is σ = 179299008000. Its totient is φ = 15695167488.

The previous prime is 56823213389. The next prime is 56823213443. The reversal of 56823213408 is 80431232865.

It is a super-2 number, since 2×568232134082 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56823213408.

It is a congruent number.

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, 638463028 + ... + 638463116.

It is an arithmetic number, because the mean of its divisors is an integer number (311283000).

Almost surely, 256823213408 is an apocalyptic number.

56823213408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56823213408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89649504000).

56823213408 is an abundant number, since it is smaller than the sum of its proper divisors (122475794592).

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

56823213408 is a wasteful number, since it uses less digits than its factorization.

56823213408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 56823213408 in words is "fifty-six billion, eight hundred twenty-three million, two hundred thirteen thousand, four hundred eight".