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20653570080 = 25335111367499
BaseRepresentation
bin10011001111000011…
…000111100000100000
31222022101100001212000
4103033003013200200
5314244303220310
613253233404000
71330546310013
oct231703074040
958271301760
1020653570080
118839446990
124004a09600
131c41c0b8b0
14ddd01537a
1580d31b4c0
hex4cf0c7820

20653570080 has 768 divisors, whose sum is σ = 86365440000. Its totient is φ = 4543672320.

The previous prime is 20653570073. The next prime is 20653570087. The reversal of 20653570080 is 8007535602.

20653570080 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 3 + 570 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (20653570073) and next prime (20653570087).

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 (20653570087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41389671 + ... + 41390169.

It is an arithmetic number, because the mean of its divisors is an integer number (112455000).

Almost surely, 220653570080 is an apocalyptic number.

20653570080 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 20653570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720000).

20653570080 is an abundant number, since it is smaller than the sum of its proper divisors (65711869920).

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

20653570080 is a wasteful number, since it uses less digits than its factorization.

20653570080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 20653570080 in words is "twenty billion, six hundred fifty-three million, five hundred seventy thousand, eighty".