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37830136008 = 23372319291117
BaseRepresentation
bin100011001110110110…
…100001000011001000
310121122110002000200110
4203032312201003020
51104434003323013
625213503034320
72506315564500
oct431666410310
9117573060613
1037830136008
1115053142115
1273b929b9a0
13374b672a82
141b8c336a00
15eb626e2c3
hex8ceda10c8

37830136008 has 192 divisors, whose sum is σ = 113789145600. Its totient is φ = 10439331840.

The previous prime is 37830135997. The next prime is 37830136013. The reversal of 37830136008 is 80063103873.

It is a super-2 number, since 2×378301360082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33867066 + ... + 33868182.

It is an arithmetic number, because the mean of its divisors is an integer number (592651800).

Almost surely, 237830136008 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 37830136008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56894572800).

37830136008 is an abundant number, since it is smaller than the sum of its proper divisors (75959009592).

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

37830136008 is a wasteful number, since it uses less digits than its factorization.

37830136008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 37830136008 in words is "thirty-seven billion, eight hundred thirty million, one hundred thirty-six thousand, eight".