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20956070520 = 23345711194421
BaseRepresentation
bin10011100001000101…
…000100001001111000
32000002110112200110000
4103201011010021320
5320404223224040
613343241153000
71341211442340
oct234105041170
960073480400
1020956070520
118984178a50
12408a18b760
131c8c7a3838
14102b279d20
15829b71130
hex4e1144278

20956070520 has 640 divisors, whose sum is σ = 92458713600. Its totient is φ = 4124390400.

The previous prime is 20956070489. The next prime is 20956070573. The reversal of 20956070520 is 2507065902.

20956070520 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 60 + 70 + 520 = 666.

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 159 ways as a sum of consecutive naturals, for example, 4737910 + ... + 4742330.

It is an arithmetic number, because the mean of its divisors is an integer number (144466740).

Almost surely, 220956070520 is an apocalyptic number.

20956070520 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 20956070520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46229356800).

20956070520 is an abundant number, since it is smaller than the sum of its proper divisors (71502643080).

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

20956070520 is a wasteful number, since it uses less digits than its factorization.

20956070520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 20956070520 in words is "twenty billion, nine hundred fifty-six million, seventy thousand, five hundred twenty".