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20177502912 = 2632717431683
BaseRepresentation
bin10010110010101011…
…000100001011000000
31221002012112100110200
4102302223010023000
5312310420043122
613134105525200
71313005642050
oct226253041300
957065470420
1020177502912
118614746646
123ab14a3800
131b973b6048
14d95acd560
157d162e5ac
hex4b2ac42c0

20177502912 has 336 divisors, whose sum is σ = 70250499072. Its totient is φ = 5405368320.

The previous prime is 20177502911. The next prime is 20177502937. The reversal of 20177502912 is 21920577102.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (20177502911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29542123 + ... + 29542805.

Almost surely, 220177502912 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 20177502912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35125249536).

20177502912 is an abundant number, since it is smaller than the sum of its proper divisors (50072996160).

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

20177502912 is a wasteful number, since it uses less digits than its factorization.

20177502912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 20177502912 in words is "twenty billion, one hundred seventy-seven million, five hundred two thousand, nine hundred twelve".