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10565606964 = 22311174708381
BaseRepresentation
bin10011101011100001…
…00101111000110100
31000021100001110000110
421311300211320310
5133114243410324
64504225343020
7522553114563
oct116560457064
930240043013
1010565606964
114532011990
12206a497a70
13cc4c33653
14723315bda
1541c885329
hex275c25e34

10565606964 has 48 divisors (see below), whose sum is σ = 28476294336. Its totient is φ = 3013363200.

The previous prime is 10565606941. The next prime is 10565606969. The reversal of 10565606964 is 46960656501.

10565606964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105656069642 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10565606969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2351947 + ... + 2356434.

It is an arithmetic number, because the mean of its divisors is an integer number (593256132).

Almost surely, 210565606964 is an apocalyptic number.

It is an amenable number.

10565606964 is an abundant number, since it is smaller than the sum of its proper divisors (17910687372).

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

10565606964 is a wasteful number, since it uses less digits than its factorization.

10565606964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708416 (or 4708414 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 10565606964 in words is "ten billion, five hundred sixty-five million, six hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 4708381 9416762 14125143 18833524 28250286 51792191 56500572 80042477 103584382 155376573 160084954 207168764 240127431 310753146 320169908 480254862 621506292 880467247 960509724 1760934494 2641401741 3521868988 5282803482 10565606964