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12638765375 = 536113112653
BaseRepresentation
bin10111100010101010…
…00100000100111111
31012121211001210201022
423301111010010333
5201341010443000
65450044334355
7625125506315
oct136125040477
935554053638
1012638765375
1153a6287545
1225488443bb
1312655b3cc2
1487c7b60b5
154de899585
hex2f154413f

12638765375 has 32 divisors (see below), whose sum is σ = 16155412416. Its totient is φ = 9868560000.

The previous prime is 12638765369. The next prime is 12638765431. The reversal of 12638765375 is 57356783621.

12638765375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12638765375 - 28 = 12638765119 is a prime.

It is a Duffinian number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 992549 + ... + 1005201.

It is an arithmetic number, because the mean of its divisors is an integer number (504856638).

Almost surely, 212638765375 is an apocalyptic number.

12638765375 is a deficient number, since it is larger than the sum of its proper divisors (3516647041).

12638765375 is a wasteful number, since it uses less digits than its factorization.

12638765375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12860 (or 12850 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 53.

The spelling of 12638765375 in words is "twelve billion, six hundred thirty-eight million, seven hundred sixty-five thousand, three hundred seventy-five".

Divisors: 1 5 25 61 125 131 305 655 1525 3275 7625 7991 12653 16375 39955 63265 199775 316325 771833 998875 1581625 1657543 3859165 8287715 19295825 41438575 96479125 101110123 207192875 505550615 2527753075 12638765375