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20938604544 = 214331113331
BaseRepresentation
bin10011100000000010…
…011100000000000000
32000001020200022122000
4103200002130000000
5320340240321134
613341414544000
71340610126204
oct234002340000
960036608560
1020938604544
118975329560
124084368000
131c88c99940
141028c10b04
15828370e99
hex4e009c000

20938604544 has 480 divisors, whose sum is σ = 73104487680. Its totient is φ = 5839257600.

The previous prime is 20938604521. The next prime is 20938604573. The reversal of 20938604544 is 44540683902.

20938604544 is a `hidden beast` number, since 2 + 0 + 9 + 38 + 604 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20938604544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63258459 + ... + 63258789.

It is an arithmetic number, because the mean of its divisors is an integer number (152301016).

Almost surely, 220938604544 is an apocalyptic number.

20938604544 is a gapful number since it is divisible by the number (24) 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 20938604544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36552243840).

20938604544 is an abundant number, since it is smaller than the sum of its proper divisors (52165883136).

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

20938604544 is a wasteful number, since it uses less digits than its factorization.

20938604544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20938604544 in words is "twenty billion, nine hundred thirty-eight million, six hundred four thousand, five hundred forty-four".