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56297614032 = 243711375967
BaseRepresentation
bin110100011011100110…
…010110101011010000
312101022110220010000000
4310123212112223100
51410244142122112
641510205130000
74032051552342
oct643346265320
9171273803000
1056297614032
112196a598750
12aab1b59900
1354026ac56a
142a20c91292
1516e76b97dc
hexd1b996ad0

56297614032 has 640 divisors, whose sum is σ = 189173606400. Its totient is φ = 16073925120.

The previous prime is 56297613997. The next prime is 56297614067. The reversal of 56297614032 is 23041679265.

56297614032 is a `hidden beast` number, since 5 + 6 + 29 + 7 + 614 + 0 + 3 + 2 = 666.

56297614032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56297613997) and next prime (56297614067).

It is a super-3 number, since 3×562976140323 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 840262863 + ... + 840262929.

It is an arithmetic number, because the mean of its divisors is an integer number (295583760).

Almost surely, 256297614032 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 56297614032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94586803200).

56297614032 is an abundant number, since it is smaller than the sum of its proper divisors (132875992368).

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

56297614032 is a wasteful number, since it uses less digits than its factorization.

56297614032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56297614032 in words is "fifty-six billion, two hundred ninety-seven million, six hundred fourteen thousand, thirty-two".