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20950458048 = 2632137338327
BaseRepresentation
bin10011100000101111…
…101001111011000000
32000002001222112120200
4103200233221323000
5320401304124143
613342521005200
71341112645422
oct234057517300
960061875520
1020950458048
118980a95243
124088323800
131c8b58a050
14102a618812
158294131d3
hex4e0be9ec0

20950458048 has 168 divisors, whose sum is σ = 65557591008. Its totient is φ = 6357823488.

The previous prime is 20950458013. The next prime is 20950458059. The reversal of 20950458048 is 84085405902.

20950458048 is a `hidden beast` number, since 20 + 9 + 5 + 0 + 4 + 580 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20950457994 and 20950458012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527461 + ... + 565787.

It is an arithmetic number, because the mean of its divisors is an integer number (390223756).

Almost surely, 220950458048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20950458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32778795504).

20950458048 is an abundant number, since it is smaller than the sum of its proper divisors (44607132960).

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

20950458048 is a wasteful number, since it uses less digits than its factorization.

20950458048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38431 (or 38418 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 20950458048 in words is "twenty billion, nine hundred fifty million, four hundred fifty-eight thousand, forty-eight".