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20139755328 = 2633711236581
BaseRepresentation
bin10010110000011011…
…000100011101000000
31220222120111120112000
4102300123010131000
5312221234132303
613130240504000
71312040044560
oct226033043500
956876446460
1020139755328
1185a54042a0
123aa091b000
131b8c62a7b4
14d90aa4da0
157cd174da3
hex4b06c4740

20139755328 has 448 divisors, whose sum is σ = 77037834240. Its totient is φ = 5002905600.

The previous prime is 20139755327. The next prime is 20139755333. The reversal of 20139755328 is 82355793102.

20139755328 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 97 + 553 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20139755327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3056998 + ... + 3063578.

Almost surely, 220139755328 is an apocalyptic number.

20139755328 is a gapful number since it is divisible by the number (28) 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 20139755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38518917120).

20139755328 is an abundant number, since it is smaller than the sum of its proper divisors (56898078912).

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

20139755328 is a wasteful number, since it uses less digits than its factorization.

20139755328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 20139755328 in words is "twenty billion, one hundred thirty-nine million, seven hundred fifty-five thousand, three hundred twenty-eight".