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12752956368 = 2432175209541
BaseRepresentation
bin10111110000010001…
…01010101111010000
31012220202221022022100
423320020222233100
5202104224100433
65505244040400
7631013224545
oct137010525720
935822838270
1012752956368
115454790969
12257ab33100
131283155b39
1488da1cbcc
154e9903b13
hex2f822abd0

12752956368 has 60 divisors (see below), whose sum is σ = 37790017668. Its totient is φ = 4000926720.

The previous prime is 12752956357. The next prime is 12752956379. The reversal of 12752956368 is 86365925721.

12752956368 is a `hidden beast` number, since 1 + 2 + 7 + 529 + 56 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (12752956357) and next prime (12752956379).

It can be written as a sum of positive squares in 2 ways, for example, as 4239572544 + 8513383824 = 65112^2 + 92268^2 .

It is a super-2 number, since 2×127529563682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2602323 + ... + 2607218.

Almost surely, 212752956368 is an apocalyptic number.

12752956368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12752956368 is an abundant number, since it is smaller than the sum of its proper divisors (25037061300).

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

12752956368 is a wasteful number, since it uses less digits than its factorization.

12752956368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209572 (or 5209563 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 12752956368 in words is "twelve billion, seven hundred fifty-two million, nine hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 5209541 10419082 15628623 20838164 31257246 41676328 46885869 62514492 83352656 88562197 93771738 125028984 177124394 187543476 250057968 265686591 354248788 375086952 531373182 708497576 750173904 797059773 1062746364 1416995152 1594119546 2125492728 3188239092 4250985456 6376478184 12752956368