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56158882560 = 283251117131199
BaseRepresentation
bin110100010011010101…
…001000101100000000
312100221210211211012100
4310103111020230000
51410003133220220
641444331430400
74025445424404
oct642325105400
9170853754170
1056158882560
11218a9252740
12aa735b5400
1353aca27731
142a0a69b104
1516da413d90
hexd13548b00

56158882560 has 864 divisors, whose sum is σ = 227286259200. Its totient is φ = 12651724800.

The previous prime is 56158882547. The next prime is 56158882561. The reversal of 56158882560 is 6528885165.

56158882560 is a `hidden beast` number, since 5 + 6 + 1 + 588 + 8 + 2 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56158882497 and 56158882506.

It is not an unprimeable number, because it can be changed into a prime (56158882561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282205341 + ... + 282205539.

It is an arithmetic number, because the mean of its divisors is an integer number (263062800).

Almost surely, 256158882560 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 56158882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113643129600).

56158882560 is an abundant number, since it is smaller than the sum of its proper divisors (171127376640).

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

56158882560 is a wasteful number, since it uses less digits than its factorization.

56158882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 56158882560 in words is "fifty-six billion, one hundred fifty-eight million, eight hundred eighty-two thousand, five hundred sixty".