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12744437540 = 2252341675739
BaseRepresentation
bin10111101111010000…
…01010111100100100
31012220011220111200012
423313220022330210
5202100034000130
65504341305352
7630550634402
oct136750127444
935804814605
1012744437540
11544a9a260a
122578105258
131281462503
1488c842472
154e8cbe995
hex2f7a0af24

12744437540 has 48 divisors (see below), whose sum is σ = 28608128640. Its totient is φ = 4757195520.

The previous prime is 12744437521. The next prime is 12744437543. The reversal of 12744437540 is 4573444721.

It is a super-2 number, since 2×127444375402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (12744437543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319010 + ... + 356729.

It is an arithmetic number, because the mean of its divisors is an integer number (596002680).

Almost surely, 212744437540 is an apocalyptic number.

12744437540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12744437540 is an abundant number, since it is smaller than the sum of its proper divisors (15863691100).

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

12744437540 is a wasteful number, since it uses less digits than its factorization.

12744437540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675812 (or 675810 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The spelling of 12744437540 in words is "twelve billion, seven hundred forty-four million, four hundred thirty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 18860 675739 1351478 2702956 3378695 6757390 13514780 15541997 27705299 31083994 55410598 62167988 77709985 110821196 138526495 155419970 277052990 310839940 554105980 637221877 1274443754 2548887508 3186109385 6372218770 12744437540