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56009585088 = 2632331293773
BaseRepresentation
bin110100001010011011…
…100111000111000000
312100120101220201120100
4310022123213013000
51404201423210323
641421435442400
74021653421662
oct641233470700
9170511821510
1056009585088
1121831a502a6
12aa315b6400
135387b13532
1429d4916532
1516cc272943
hexd0a6e71c0

56009585088 has 84 divisors (see below), whose sum is σ = 161026930168. Its totient is φ = 18613393920.

The previous prime is 56009585063. The next prime is 56009585101. The reversal of 56009585088 is 88058590065.

56009585088 is a `hidden beast` number, since 56 + 0 + 0 + 9 + 585 + 0 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43770 + ... + 337542.

Almost surely, 256009585088 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 56009585088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80513465084).

56009585088 is an abundant number, since it is smaller than the sum of its proper divisors (105017345080).

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

56009585088 is a wasteful number, since it uses less digits than its factorization.

56009585088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294122 (or 294109 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 56009585088 in words is "fifty-six billion, nine million, five hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 331 576 662 993 1324 1986 2648 2979 3972 5296 5958 7944 10592 11916 15888 21184 23832 31776 47664 63552 95328 190656 293773 587546 881319 1175092 1762638 2350184 2643957 3525276 4700368 5287914 7050552 9400736 10575828 14101104 18801472 21151656 28202208 42303312 56404416 84606624 97238863 169213248 194477726 291716589 388955452 583433178 777910904 875149767 1166866356 1555821808 1750299534 2333732712 3111643616 3500599068 4667465424 6223287232 7001198136 9334930848 14002396272 18669861696 28004792544 56009585088