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56580451236 = 2233472237163
BaseRepresentation
bin110100101100011101…
…010010101110100100
312102001012002201201000
4310230131102232210
51411334043414421
641554231233300
74042054620531
oct645435225644
9172035081630
1056580451236
1121aa520a501
12ab70818830
13544917b45a
142a4a677d88
151712438226
hexd2c752ba4

56580451236 has 72 divisors (see below), whose sum is σ = 149878161440. Its totient is φ = 18458792784.

The previous prime is 56580451181. The next prime is 56580451259. The reversal of 56580451236 is 63215408565.

56580451236 is a `hidden beast` number, since 5 + 6 + 580 + 45 + 1 + 23 + 6 = 666.

56580451236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56580451191 and 56580451200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119991 + ... + 357153.

Almost surely, 256580451236 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 56580451236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74939080720).

56580451236 is an abundant number, since it is smaller than the sum of its proper divisors (93297710204).

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

56580451236 is a wasteful number, since it uses less digits than its factorization.

56580451236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237270 (or 237215 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 56580451236 in words is "fifty-six billion, five hundred eighty million, four hundred fifty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2209 2538 4418 5076 6627 8836 13254 19881 26508 39762 59643 79524 119286 237163 238572 474326 711489 948652 1422978 2134467 2845956 4268934 6403401 8537868 11146661 12806802 22293322 25613604 33439983 44586644 66879966 100319949 133759932 200639898 300959847 401279796 523893067 601919694 1047786134 1203839388 1571679201 2095572268 3143358402 4715037603 6286716804 9430075206 14145112809 18860150412 28290225618 56580451236