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12570513768 = 233429668929
BaseRepresentation
bin10111011010100001…
…01101000101101000
31012110001122021010000
423231100231011220
5201221022420033
65435205423000
7623336414121
oct135520550550
935401567100
1012570513768
11537080005a
122529a0aa60
131254408237
148736cb048
154d88b6a13
hex2ed42d168

12570513768 has 80 divisors (see below), whose sum is σ = 36423238500. Its totient is φ = 4045676544.

The previous prime is 12570513763. The next prime is 12570513811. The reversal of 12570513768 is 86731507521.

It is a happy number.

12570513768 is a `hidden beast` number, since 1 + 2 + 5 + 70 + 513 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12330325764 + 240188004 = 111042^2 + 15498^2 .

It is not an unprimeable number, because it can be changed into a prime (12570513763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 315673 + ... + 353256.

Almost surely, 212570513768 is an apocalyptic number.

12570513768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12570513768 is an abundant number, since it is smaller than the sum of its proper divisors (23852724732).

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

12570513768 is a wasteful number, since it uses less digits than its factorization.

12570513768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668976 (or 668963 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 12570513768 in words is "twelve billion, five hundred seventy million, five hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 18792 668929 1337858 2006787 2675716 4013574 5351432 6020361 8027148 12040722 16054296 18061083 19398941 24081444 36122166 38797882 48162888 54183249 58196823 72244332 77595764 108366498 116393646 144488664 155191528 174590469 216732996 232787292 349180938 433465992 465574584 523771407 698361876 1047542814 1396723752 1571314221 2095085628 3142628442 4190171256 6285256884 12570513768