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20116881792 = 273372211563
BaseRepresentation
bin10010101111000011…
…110100000110000000
31220220222110110221000
4102233003310012000
5312144410204132
613124102332000
71311341450100
oct225703640600
956828413830
1020116881792
118593501047
123a9512a000
131b8797c467
14d8ba2d200
157cb15787c
hex4af0f4180

20116881792 has 384 divisors, whose sum is σ = 69516835200. Its totient is φ = 5710279680.

The previous prime is 20116881671. The next prime is 20116881793. The reversal of 20116881792 is 29718861102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×201168817922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20116881793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35731303 + ... + 35731865.

It is an arithmetic number, because the mean of its divisors is an integer number (181033425).

Almost surely, 220116881792 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 20116881792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34758417600).

20116881792 is an abundant number, since it is smaller than the sum of its proper divisors (49399953408).

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

20116881792 is a wasteful number, since it uses less digits than its factorization.

20116881792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 20116881792 in words is "twenty billion, one hundred sixteen million, eight hundred eighty-one thousand, seven hundred ninety-two".