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21304571904 = 2113271117883
BaseRepresentation
bin10011110101110110…
…011111100000000000
32000222202022101110200
4103311312133200000
5322112432300104
613442010525200
71352642605350
oct236566374000
960882271420
1021304571904
11904296a220
124166a36800
132016a53885
141061676b60
1584a560b39
hex4f5d9f800

21304571904 has 576 divisors, whose sum is σ = 81319230720. Its totient is φ = 5202247680.

The previous prime is 21304571891. The next prime is 21304571933. The reversal of 21304571904 is 40917540312.

21304571904 is a `hidden beast` number, since 2 + 13 + 0 + 457 + 190 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24127047 + ... + 24127929.

It is an arithmetic number, because the mean of its divisors is an integer number (141179220).

Almost surely, 221304571904 is an apocalyptic number.

21304571904 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 21304571904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40659615360).

21304571904 is an abundant number, since it is smaller than the sum of its proper divisors (60014658816).

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

21304571904 is a wasteful number, since it uses less digits than its factorization.

21304571904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21304571904 in words is "twenty-one billion, three hundred four million, five hundred seventy-one thousand, nine hundred four".