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56680736130 = 2325997631681
BaseRepresentation
bin110100110010011011…
…110110010110000010
312102022011210201201100
4310302123312112002
51412040232024010
642012212515230
74044413210364
oct646233662602
9172264721640
1056680736130
1122046885a87
12ab9a31bb16
135463b91825
142a59b00d34
15171b1472c0
hexd326f6582

56680736130 has 48 divisors (see below), whose sum is σ = 147517960824. Its totient is φ = 15099678720.

The previous prime is 56680736111. The next prime is 56680736131. The reversal of 56680736130 is 3163708665.

56680736130 is a `hidden beast` number, since 566 + 8 + 0 + 73 + 6 + 13 + 0 = 666.

56680736130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51124375449 + 5556360681 = 226107^2 + 74541^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56680736131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226111 + ... + 405570.

Almost surely, 256680736130 is an apocalyptic number.

56680736130 is an abundant number, since it is smaller than the sum of its proper divisors (90837224694).

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

56680736130 is a wasteful number, since it uses less digits than its factorization.

56680736130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632691 (or 632688 counting only the distinct ones).

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

The spelling of 56680736130 in words is "fifty-six billion, six hundred eighty million, seven hundred thirty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 997 1994 2991 4985 5982 8973 9970 14955 17946 29910 44865 89730 631681 1263362 1895043 3158405 3790086 5685129 6316810 9475215 11370258 18950430 28425645 56851290 629785957 1259571914 1889357871 3148929785 3778715742 5668073613 6297859570 9446789355 11336147226 18893578710 28340368065 56680736130