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20117637792 = 2533723294987
BaseRepresentation
bin10010101111000110…
…101100101010100000
31220221000212212222000
4102233012230222200
5312200103402132
613124130444000
71311351046140
oct225706545240
956830785860
1020117637792
11859397803a
123a95433600
131b87b855b5
14d8bb88920
157cb25687c
hex4af1acaa0

20117637792 has 384 divisors, whose sum is σ = 72401817600. Its totient is φ = 5307337728.

The previous prime is 20117637737. The next prime is 20117637811. The reversal of 20117637792 is 29773671102.

20117637792 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 7 + 637 + 7 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4031523 + ... + 4036509.

It is an arithmetic number, because the mean of its divisors is an integer number (188546400).

Almost surely, 220117637792 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 20117637792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36200908800).

20117637792 is an abundant number, since it is smaller than the sum of its proper divisors (52284179808).

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

20117637792 is a wasteful number, since it uses less digits than its factorization.

20117637792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 20117637792 in words is "twenty billion, one hundred seventeen million, six hundred thirty-seven thousand, seven hundred ninety-two".