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38132617104 = 243388269947
BaseRepresentation
bin100011100000111000…
…011000111110010000
310122102112020122202000
4203200320120332100
51111043422221404
625303510154000
72516650616541
oct434070307620
9118375218660
1038132617104
111519896069a
127482652900
13379922bc7a
141bba5944c8
15ed2abd339
hex8e0e18f90

38132617104 has 40 divisors (see below), whose sum is σ = 109454735520. Its totient is φ = 12710872224.

The previous prime is 38132617031. The next prime is 38132617139. The reversal of 38132617104 is 40171623183.

It is a happy number.

38132617104 is a `hidden beast` number, since 3 + 8 + 1 + 32 + 617 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44134542 + ... + 44135405.

It is an arithmetic number, because the mean of its divisors is an integer number (2736368388).

Almost surely, 238132617104 is an apocalyptic number.

It is an amenable number.

38132617104 is an abundant number, since it is smaller than the sum of its proper divisors (71322118416).

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

38132617104 is a wasteful number, since it uses less digits than its factorization.

38132617104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88269964 (or 88269952 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 38132617104 in words is "thirty-eight billion, one hundred thirty-two million, six hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 88269947 176539894 264809841 353079788 529619682 706159576 794429523 1059239364 1412319152 1588859046 2118478728 2383288569 3177718092 4236957456 4766577138 6355436184 9533154276 12710872368 19066308552 38132617104