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20653992000 = 263253377753
BaseRepresentation
bin10011001111000100…
…101110100001000000
31222022102010111121200
4103033010232201000
5314244410221000
613253250421200
71330553015055
oct231704564100
958272114550
1020653992000
118839704984
124004b91800
131c42028955
14ddd0c502c
1580d3a1500
hex4cf12e840

20653992000 has 336 divisors, whose sum is σ = 75889390512. Its totient is φ = 5358182400.

The previous prime is 20653991989. The next prime is 20653992011. The reversal of 20653992000 is 29935602.

20653992000 is a `hidden beast` number, since 2 + 0 + 65 + 399 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20653991989) and next prime (20653992011).

It can be written as a sum of positive squares in 8 ways, for example, as 7750656 + 20646241344 = 2784^2 + 143688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2660124 + ... + 2667876.

Almost surely, 220653992000 is an apocalyptic number.

20653992000 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 20653992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944695256).

20653992000 is an abundant number, since it is smaller than the sum of its proper divisors (55235398512).

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

20653992000 is a wasteful number, since it uses less digits than its factorization.

20653992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 20653992000 in words is "twenty billion, six hundred fifty-three million, nine hundred ninety-two thousand".