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20404556928 = 273272719337
BaseRepresentation
bin10011000000001101…
…001101010010000000
31221200000202220000200
4103000031031102000
5313242031310203
613212420245200
71321433605110
oct230015152200
957600686020
1020404556928
118720927698
123b55540800
131c02453432
14db7d15040
157e652e9a3
hex4c034d480

20404556928 has 192 divisors, whose sum is σ = 67359102720. Its totient is φ = 5807738880.

The previous prime is 20404556911. The next prime is 20404556933. The reversal of 20404556928 is 82965540402.

20404556928 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 556 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2180676 + ... + 2190012.

It is an arithmetic number, because the mean of its divisors is an integer number (350828660).

Almost surely, 220404556928 is an apocalyptic number.

20404556928 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 20404556928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33679551360).

20404556928 is an abundant number, since it is smaller than the sum of its proper divisors (46954545792).

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

20404556928 is a wasteful number, since it uses less digits than its factorization.

20404556928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9635 (or 9620 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 20404556928 in words is "twenty billion, four hundred four million, five hundred fifty-six thousand, nine hundred twenty-eight".