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38979940032 = 26321128321739
BaseRepresentation
bin100100010011011000…
…101010111011000000
310201121120122010021200
4210103120222323000
51114312331040112
625523535221200
72546650011015
oct442330527300
9121546563250
1038979940032
1115593183980
12767a377800
1338a2940897
141c5ad1b70c
151032191cdc
hex91362aec0

38979940032 has 168 divisors, whose sum is σ = 122322457920. Its totient is φ = 11769822720.

The previous prime is 38979940031. The next prime is 38979940049. The reversal of 38979940032 is 23004997983.

38979940032 is a `hidden beast` number, since 38 + 97 + 99 + 400 + 32 = 666.

It is a super-2 number, since 2×389799400322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38979940031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1782219 + ... + 1803957.

Almost surely, 238979940032 is an apocalyptic number.

38979940032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38979940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61161228960).

38979940032 is an abundant number, since it is smaller than the sum of its proper divisors (83342517888).

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

38979940032 is a wasteful number, since it uses less digits than its factorization.

38979940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22051 (or 22038 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 38979940032 in words is "thirty-eight billion, nine hundred seventy-nine million, nine hundred forty thousand, thirty-two".