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20620334592 = 293511131961
BaseRepresentation
bin10011001101000100…
…010101011000000000
31222020001210112100000
4103031010111120000
5314212301201332
613250045200000
71326663644364
oct231504253000
958201715300
1020620334592
118821706640
123bb5860000
131c38073020
14dd88432a4
1580a453b7c
hex4cd115600

20620334592 has 960 divisors, whose sum is σ = 77572535040. Its totient is φ = 5374771200.

The previous prime is 20620334587. The next prime is 20620334599. The reversal of 20620334592 is 29543302602.

It is a happy number.

20620334592 is a `hidden beast` number, since 2 + 0 + 62 + 0 + 3 + 3 + 4 + 592 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20620334599) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338038242 + ... + 338038302.

It is an arithmetic number, because the mean of its divisors is an integer number (80804724).

Almost surely, 220620334592 is an apocalyptic number.

20620334592 is a gapful number since it is divisible by the number (22) 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 20620334592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38786267520).

20620334592 is an abundant number, since it is smaller than the sum of its proper divisors (56952200448).

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

20620334592 is a wasteful number, since it uses less digits than its factorization.

20620334592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20620334592 in words is "twenty billion, six hundred twenty million, three hundred thirty-four thousand, five hundred ninety-two".