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137240674824 = 233111730579473
BaseRepresentation
bin111111111010000101…
…1101000001000001000
3111010020112112122012110
41333310023220020020
54222032103043244
6143014131542320
712625644326331
oct1776413501010
9433215478173
10137240674824
1153226868310
122272175a9a0
13cc320067c6
1468dcd95288
15388386d9b9
hex1ff42e8208

137240674824 has 64 divisors (see below), whose sum is σ = 396309983040. Its totient is φ = 39141724160.

The previous prime is 137240674819. The next prime is 137240674867. The reversal of 137240674824 is 428476042731.

It is a super-2 number, since 2×1372406748242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15285249 + ... + 15294224.

It is an arithmetic number, because the mean of its divisors is an integer number (6192343485).

Almost surely, 2137240674824 is an apocalyptic number.

It is an amenable number.

137240674824 is an abundant number, since it is smaller than the sum of its proper divisors (259069308216).

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

137240674824 is a wasteful number, since it uses less digits than its factorization.

137240674824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30579510 (or 30579506 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 137240674824 in words is "one hundred thirty-seven billion, two hundred forty million, six hundred seventy-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 30579473 61158946 91738419 122317892 183476838 244635784 336374203 366953676 519851041 672748406 733907352 1009122609 1039702082 1345496812 1559553123 2018245218 2079404164 2690993624 3119106246 4036490436 4158808328 5718361451 6238212492 8072980872 11436722902 12476424984 17155084353 22873445804 34310168706 45746891608 68620337412 137240674824