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56190332025 = 3252158032
BaseRepresentation
bin110100010101001101…
…000110110001111001
312101001000000121202100
4310111031012301321
51410034211111100
641451413454013
74026306640662
oct642515066171
9171030017670
1056190332025
1121914a83133
12aa82041309
1353b63b9399
142a10926369
1516dd077400
hexd15346c79

56190332025 has 27 divisors (see below), whose sum is σ = 100649497039. Its totient is φ = 29966280720.

The previous prime is 56190331987. The next prime is 56190332039. The reversal of 56190332025 is 52023309165.

The square root of 56190332025 is 237045.

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

56190332025 is a `hidden beast` number, since 5 + 619 + 0 + 3 + 32 + 0 + 2 + 5 = 666.

56190332025 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 only one way, i.e., 20228519529 + 35961812496 = 142227^2 + 189636^2 .

It is not a de Polignac number, because 56190332025 - 211 = 56190329977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3547774 + ... + 3563576.

Almost surely, 256190332025 is an apocalyptic number.

56190332025 is the 237045-th square number.

56190332025 is the 118523-rd centered octagonal number.

It is an amenable number.

56190332025 is a deficient number, since it is larger than the sum of its proper divisors (44459165014).

56190332025 is an frugal number, since it uses more digits than its factorization.

56190332025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31622 (or 15811 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 56190332025 by its sum of digits (36), we get a square (2022851952900 = 14222702).

The spelling of 56190332025 in words is "fifty-six billion, one hundred ninety million, three hundred thirty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 15803 47409 79015 142227 237045 395075 711135 1185225 3555675 249734809 749204427 1248674045 2247613281 3746022135 6243370225 11238066405 18730110675 56190332025