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20553613920 = 253457713191
BaseRepresentation
bin10011001001000101…
…110100001001100000
31222001102020202210000
4103021011310021200
5314043211121140
613235303140000
71325223556440
oct231105641140
958042222700
1020553613920
118797a85394
123b97444600
131c272b2038
14dcda36120
15804674a30
hex4c9174260

20553613920 has 480 divisors, whose sum is σ = 84093520896. Its totient is φ = 4630348800.

The previous prime is 20553613897. The next prime is 20553613931. The reversal of 20553613920 is 2931635502.

20553613920 is a `hidden beast` number, since 2 + 0 + 553 + 6 + 13 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6439525 + ... + 6442715.

Almost surely, 220553613920 is an apocalyptic number.

20553613920 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 20553613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42046760448).

20553613920 is an abundant number, since it is smaller than the sum of its proper divisors (63539906976).

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

20553613920 is a wasteful number, since it uses less digits than its factorization.

20553613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 20553613920 in words is "twenty billion, five hundred fifty-three million, six hundred thirteen thousand, nine hundred twenty".