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130868850564 = 2232602932
BaseRepresentation
bin111100111100001100…
…1000010111110000100
3110111210110211102112100
41321320121002332010
54121004411204224
6140041553352100
712312023606244
oct1717031027604
9414713742470
10130868850564
1150557066451
1221443868630
13c457bb2caa
146496a37b24
15360e28aac9
hex1e78642f84

130868850564 has 27 divisors (see below), whose sum is σ = 330812859013. Its totient is φ = 43622226672.

The previous prime is 130868850551. The next prime is 130868850569. The reversal of 130868850564 is 465058868031.

The square root of 130868850564 is 361758.

It is a perfect power (a square), and thus also a powerful number.

130868850564 is a `hidden beast` number, since 13 + 0 + 8 + 68 + 8 + 5 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43484760900 + 87384089664 = 208530^2 + 295608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130868850564.

It is not an unprimeable number, because it can be changed into a prime (130868850569) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2140402 + ... + 2200694.

Almost surely, 2130868850564 is an apocalyptic number.

130868850564 is the 361758-th square number.

It is an amenable number.

130868850564 is an abundant number, since it is smaller than the sum of its proper divisors (199944008449).

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

130868850564 is an frugal number, since it uses more digits than its factorization.

130868850564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120596 (or 60298 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 130868850564 in words is "one hundred thirty billion, eight hundred sixty-eight million, eight hundred fifty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 60293 120586 180879 241172 361758 542637 723516 1085274 2170548 3635245849 7270491698 10905737547 14540983396 21811475094 32717212641 43622950188 65434425282 130868850564