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10765722564 = 2232172932
BaseRepresentation
bin10100000011010111…
…11110001111000100
31000210021121101000100
422001223332033010
5134022011110224
64540134444100
7530533063152
oct120153761704
930707541010
1010765722564
114624a73783
122105503630
13102752b44c
14741b283d2
15430213ac9
hex281afe3c4

10765722564 has 27 divisors (see below), whose sum is σ = 27214928013. Its totient is φ = 3588366672.

The previous prime is 10765722521. The next prime is 10765722593. The reversal of 10765722564 is 46522756701.

The square root of 10765722564 is 103758.

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

10765722564 is a `hidden beast` number, since 1 + 0 + 7 + 65 + 7 + 22 + 564 = 666.

10765722564 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., 444788100 + 10320934464 = 21090^2 + 101592^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 613902 + ... + 631194.

Almost surely, 210765722564 is an apocalyptic number.

10765722564 is the 103758-th square number.

It is an amenable number.

10765722564 is an abundant number, since it is smaller than the sum of its proper divisors (16449205449).

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

10765722564 is an frugal number, since it uses more digits than its factorization.

10765722564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34596 (or 17298 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 10765722564 in words is "ten billion, seven hundred sixty-five million, seven hundred twenty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 17293 34586 51879 69172 103758 155637 207516 311274 622548 299047849 598095698 897143547 1196191396 1794287094 2691430641 3588574188 5382861282 10765722564