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56591652100 = 2252237892
BaseRepresentation
bin110100101101001000…
…000001010100000100
312102001222011210101211
4310231020001110010
51411344430331400
641555311301204
74042252051234
oct645510012404
9172058153354
1056591652100
112200056a915
12ab7451a804
13544b5a0799
142a4bd51cc4
1517133ebdba
hexd2d201504

56591652100 has 27 divisors (see below), whose sum is σ = 122809047487. Its totient is φ = 22635709280.

The previous prime is 56591652083. The next prime is 56591652101. The reversal of 56591652100 is 125619565.

The square root of 56591652100 is 237890.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12672905476 + 43918746624 = 112574^2 + 209568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56591652101) 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, 2367006 + ... + 2390794.

Almost surely, 256591652100 is an apocalyptic number.

56591652100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56591652100 is the 237890-th square number.

It is an amenable number.

56591652100 is an abundant number, since it is smaller than the sum of its proper divisors (66217395387).

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

56591652100 is an frugal number, since it uses more digits than its factorization.

56591652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47592 (or 23796 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 40.

The spelling of 56591652100 in words is "fifty-six billion, five hundred ninety-one million, six hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 23789 47578 95156 118945 237890 475780 594725 1189450 2378900 565916521 1131833042 2263666084 2829582605 5659165210 11318330420 14147913025 28295826050 56591652100