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37685054144 = 264315787221
BaseRepresentation
bin100011000110001101…
…000100101011000000
310121021100002002210002
4203012031010223000
51104134333213034
625151241255132
72502604450343
oct430615045300
9117240062702
1037685054144
1114a89259a51
1273787944a8
1337275a660a
141b76d6c45a
15ea8661e7e
hex8c6344ac0

37685054144 has 56 divisors (see below), whose sum is σ = 77008652688. Its totient is φ = 18286894080.

The previous prime is 37685054123. The next prime is 37685054167. The reversal of 37685054144 is 44145058673.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388454 + ... + 475674.

Almost surely, 237685054144 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 37685054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38504326344).

37685054144 is an abundant number, since it is smaller than the sum of its proper divisors (39323598544).

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

37685054144 is a wasteful number, since it uses less digits than its factorization.

37685054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87433 (or 87423 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 37685054144 in words is "thirty-seven billion, six hundred eighty-five million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 157 172 314 344 628 688 1256 1376 2512 2752 5024 6751 10048 13502 27004 54008 87221 108016 174442 216032 348884 432064 697768 1395536 2791072 3750503 5582144 7501006 13693697 15002012 27387394 30004024 54774788 60008048 109549576 120016096 219099152 240032192 438198304 588828971 876396608 1177657942 2355315884 4710631768 9421263536 18842527072 37685054144