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20653099740 = 22355713174167
BaseRepresentation
bin10011001111000001…
…010100101011011100
31222022100110011200000
4103033001110223130
5314244143142430
613253215334300
71330542310530
oct231701245334
958270404600
1020653099740
118839155579
124004821390
131c41aa57a0
14ddcd31bc0
1580d276e60
hex4cf054adc

20653099740 has 1152 divisors, whose sum is σ = 88023656448. Its totient is φ = 3941498880.

The previous prime is 20653099739. The next prime is 20653099763. The reversal of 20653099740 is 4799035602.

It is a happy number.

20653099740 is a `hidden beast` number, since 20 + 6 + 530 + 9 + 97 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 308255187 + ... + 308255253.

It is an arithmetic number, because the mean of its divisors is an integer number (76409424).

Almost surely, 220653099740 is an apocalyptic number.

20653099740 is a gapful number since it is divisible by the number (20) 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 20653099740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44011828224).

20653099740 is an abundant number, since it is smaller than the sum of its proper divisors (67370556708).

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

20653099740 is a wasteful number, since it uses less digits than its factorization.

20653099740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20653099740 in words is "twenty billion, six hundred fifty-three million, ninety-nine thousand, seven hundred forty".