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3725346037672 = 2371719892314121
BaseRepresentation
bin110110001101011111111…
…011010101111110101000
3111012010202202210210110001
4312031133323111332220
5442014002041201142
611531222250232344
7533101355564140
oct66153773257650
914163682723401
103725346037672
111206a0179a646
12501bb6a256b4
132103b60ccb6c
14cc4444dd920
1566d88a735b7
hex3635fed5fa8

3725346037672 has 128 divisors (see below), whose sum is σ = 8997306336000. Its totient is φ = 1407577374720.

The previous prime is 3725346037667. The next prime is 3725346037681. The reversal of 3725346037672 is 2767306435273.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452772 + ... + 2766892.

It is an arithmetic number, because the mean of its divisors is an integer number (70291455750).

Almost surely, 23725346037672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725346037672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498653168000).

3725346037672 is an abundant number, since it is smaller than the sum of its proper divisors (5271960298328).

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

3725346037672 is a wasteful number, since it uses less digits than its factorization.

3725346037672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314259 (or 2314255 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 55.

The spelling of 3725346037672 in words is "three trillion, seven hundred twenty-five billion, three hundred forty-six million, thirty-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 89 119 133 136 152 178 238 266 323 356 476 532 623 646 712 952 1064 1246 1292 1513 1691 2261 2492 2584 3026 3382 4522 4984 6052 6764 9044 10591 11837 12104 13528 18088 21182 23674 28747 42364 47348 57494 84728 94696 114988 201229 229976 402458 804916 1609832 2314121 4628242 9256484 16198847 18512968 32397694 39340057 43968299 64795388 78680114 87936598 129590776 157360228 175873196 205956769 275380399 307778093 314720456 351746392 411913538 550760798 615556186 747461083 823827076 1101521596 1231112372 1441697383 1494922166 1647654152 2203043192 2462224744 2883394766 2989844332 3501265073 3913178611 5232227581 5766789532 5979688664 7002530146 7826357222 10464455162 11533579064 14005060292 15652714444 20928910324 24508855511 27392250277 28010120584 31305428888 41857820648 49017711022 54784500554 66524036387 98035422044 109569001108 133048072774 196070844088 219138002216 266096145548 465668254709 532192291096 931336509418 1862673018836 3725346037672