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56352664260 = 22325378461361
BaseRepresentation
bin110100011110111000…
…010110101011000100
312101110022110221201100
4310132320112223010
51410402240224020
641515453100100
74033320512544
oct643670265304
9171408427640
1056352664260
1121998678802
12ab08487630
135410c15569
142a28301324
1516ec440a90
hexd1ee16ac4

56352664260 has 72 divisors (see below), whose sum is σ = 175556338776. Its totient is φ = 14621230080.

The previous prime is 56352664213. The next prime is 56352664261. The reversal of 56352664260 is 6246625365.

56352664260 is a `hidden beast` number, since 5 + 6 + 3 + 526 + 64 + 2 + 60 = 666.

56352664260 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 16908321024 + 39444343236 = 130032^2 + 198606^2 .

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 (56352664261) 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, 4224021 + ... + 4237340.

It is an arithmetic number, because the mean of its divisors is an integer number (2438282483).

Almost surely, 256352664260 is an apocalyptic number.

It is an amenable number.

56352664260 is an abundant number, since it is smaller than the sum of its proper divisors (119203674516).

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

56352664260 is a wasteful number, since it uses less digits than its factorization.

56352664260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8461413 (or 8461408 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 56352664260 in words is "fifty-six billion, three hundred fifty-two million, six hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 8461361 16922722 25384083 33845444 42306805 50768166 76152249 84613610 101536332 126920415 152304498 169227220 253840830 304608996 313070357 380761245 507681660 626140714 761522490 939211071 1252281428 1523044980 1565351785 1878422142 2817633213 3130703570 3756844284 4696055355 5635266426 6261407140 9392110710 11270532852 14088166065 18784221420 28176332130 56352664260