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12707897520 = 2435411291453
BaseRepresentation
bin10111101010111001…
…10010000010110000
31012210122011002012010
423311130302002300
5202011210210040
65500554202520
7626625226623
oct136534620260
935718132163
1012707897520
11543130554a
122567a23440
131276a0a7b6
14887a4ddba
154e59a2e80
hex2f57320b0

12707897520 has 80 divisors (see below), whose sum is σ = 40355354592. Its totient is φ = 3306117120.

The previous prime is 12707897519. The next prime is 12707897537. The reversal of 12707897520 is 2579870721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×127078975202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12707897520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635887 + ... + 655566.

Almost surely, 212707897520 is an apocalyptic number.

12707897520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12707897520 is an abundant number, since it is smaller than the sum of its proper divisors (27647457072).

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

12707897520 is a wasteful number, since it uses less digits than its factorization.

12707897520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291510 (or 1291504 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 12707897520 in words is "twelve billion, seven hundred seven million, eight hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 1291453 2582906 3874359 5165812 6457265 7748718 10331624 12914530 15497436 19371795 20663248 25829060 30994872 38743590 51658120 52949573 61989744 77487180 103316240 105899146 154974360 158848719 211798292 264747865 309948720 317697438 423596584 529495730 635394876 794243595 847193168 1058991460 1270789752 1588487190 2117982920 2541579504 3176974380 4235965840 6353948760 12707897520