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20057983920 = 24325134152267
BaseRepresentation
bin10010101011100011…
…001000101110110000
31220202212122011020100
4102223203020232300
5312034320441140
613114200112400
71310025023142
oct225343105660
956685564210
1020057983920
118563233217
123a79465700
131b786ca050
14d83c9ac92
157c5dc1530
hex4ab8c8bb0

20057983920 has 240 divisors, whose sum is σ = 74313806112. Its totient is φ = 4816834560.

The previous prime is 20057983903. The next prime is 20057983921. The reversal of 20057983920 is 2938975002.

20057983920 is a `hidden beast` number, since 20 + 0 + 579 + 8 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (20057983921) 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, 357627 + ... + 409893.

Almost surely, 220057983920 is an apocalyptic number.

20057983920 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 20057983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37156903056).

20057983920 is an abundant number, since it is smaller than the sum of its proper divisors (54255822192).

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

20057983920 is a wasteful number, since it uses less digits than its factorization.

20057983920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52340 (or 52331 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 20057983920 in words is "twenty billion, fifty-seven million, nine hundred eighty-three thousand, nine hundred twenty".