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56288459250 = 2311533141
BaseRepresentation
bin110100011011000011…
…011011100111110010
312101021211200000000000
4310123003123213302
51410234321144000
641505241010430
74031611003122
oct643303334762
9171254600000
1056288459250
1121965405611
12aaaaa83a16
13540082562a
142a1d98ac82
1516e69ac000
hexd1b0db9f2

56288459250 has 384 divisors, whose sum is σ = 167135754240. Its totient is φ = 14171760000.

The previous prime is 56288459231. The next prime is 56288459323. The reversal of 56288459250 is 5295488265.

56288459250 is a `hidden beast` number, since 5 + 62 + 88 + 459 + 2 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1372889230 + ... + 1372889270.

It is an arithmetic number, because the mean of its divisors is an integer number (435249360).

Almost surely, 256288459250 is an apocalyptic number.

56288459250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56288459250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83567877120).

56288459250 is an abundant number, since it is smaller than the sum of its proper divisors (110847294990).

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

56288459250 is an frugal number, since it uses more digits than its factorization.

56288459250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 56288459250 in words is "fifty-six billion, two hundred eighty-eight million, four hundred fifty-nine thousand, two hundred fifty".