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12956740740 = 22325174234229
BaseRepresentation
bin11000001000100100…
…00010110010000100
31020102222101121220200
430010102002302010
5203013411200430
65541403530500
7636036323226
oct140422026204
936388347820
1012956740740
1155498190a9
122617229a30
1312b64367c8
148acb08416
1550c759460
hex304482c84

12956740740 has 72 divisors (see below), whose sum is σ = 41614012440. Its totient is φ = 3251887104.

The previous prime is 12956740711. The next prime is 12956740751. The reversal of 12956740740 is 4704765921.

12956740740 is a `hidden beast` number, since 1 + 2 + 9 + 567 + 40 + 7 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2572315524 + 10384425216 = 50718^2 + 101904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2114055 + ... + 2120174.

It is an arithmetic number, because the mean of its divisors is an integer number (577972395).

Almost surely, 212956740740 is an apocalyptic number.

12956740740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12956740740 is an abundant number, since it is smaller than the sum of its proper divisors (28657271700).

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

12956740740 is a wasteful number, since it uses less digits than its factorization.

12956740740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234261 (or 4234256 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12956740740 in words is "twelve billion, nine hundred fifty-six million, seven hundred forty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4234229 8468458 12702687 16936916 21171145 25405374 38108061 42342290 50810748 63513435 71981893 76216122 84684580 127026870 143963786 152432244 190540305 215945679 254053740 287927572 359909465 381080610 431891358 647837037 719818930 762161220 863782716 1079728395 1295674074 1439637860 2159456790 2591348148 3239185185 4318913580 6478370370 12956740740