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21930490368 = 2933101113139
BaseRepresentation
bin10100011011001010…
…001011101000000000
32002121101002100012000
4110123022023220000
5324403201142433
614024050304000
71404313043463
oct243312135000
962541070160
1021930490368
119334210006
124300588000
1320b6625727
1410c08492da
1588549d113
hex51b28ba00

21930490368 has 320 divisors, whose sum is σ = 66614486400. Its totient is φ = 7122124800.

The previous prime is 21930490357. The next prime is 21930490381. The reversal of 21930490368 is 86309403912.

It is a happy number.

21930490368 is a `hidden beast` number, since 219 + 30 + 49 + 0 + 368 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 157773243 + ... + 157773381.

It is an arithmetic number, because the mean of its divisors is an integer number (208170270).

Almost surely, 221930490368 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 21930490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33307243200).

21930490368 is an abundant number, since it is smaller than the sum of its proper divisors (44683996032).

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

21930490368 is a wasteful number, since it uses less digits than its factorization.

21930490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 21930490368 in words is "twenty-one billion, nine hundred thirty million, four hundred ninety thousand, three hundred sixty-eight".