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56071139400 = 233252193773607
BaseRepresentation
bin110100001110000110…
…011011000001001000
312100201200202000012200
4310032012123001020
51404313202430100
641431515040200
74023331551423
oct641606330110
9170650660180
1056071139400
1121863772a31
12aa4a140060
1353977b5ac3
1429dcb7a9ba
1516d2880e00
hexd0e19b048

56071139400 has 576 divisors, whose sum is σ = 206702246400. Its totient is φ = 13571297280.

The previous prime is 56071139387. The next prime is 56071139429. The reversal of 56071139400 is 493117065.

56071139400 is a `hidden beast` number, since 5 + 607 + 1 + 1 + 3 + 9 + 40 + 0 = 666.

It is a super-2 number, since 2×560711394002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92373897 + ... + 92374503.

Almost surely, 256071139400 is an apocalyptic number.

56071139400 is a gapful number since it is divisible by the number (50) 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 56071139400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103351123200).

56071139400 is an abundant number, since it is smaller than the sum of its proper divisors (150631107000).

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

56071139400 is a wasteful number, since it uses less digits than its factorization.

56071139400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 56071139400 in words is "fifty-six billion, seventy-one million, one hundred thirty-nine thousand, four hundred".