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21539909664 = 25337131914419
BaseRepresentation
bin10100000011111000…
…001111000000100000
32001121011010210012000
4110003320033000200
5323103204102124
613521215004000
71361531132310
oct240370170040
961534123160
1021539909664
119153798a39
124211809600
1320537315a0
141084a17440
1586104a6c9
hex503e0f020

21539909664 has 384 divisors, whose sum is σ = 81398016000. Its totient is φ = 5381489664.

The previous prime is 21539909627. The next prime is 21539909717. The reversal of 21539909664 is 46690993512.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21539909664.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1486647 + ... + 1501065.

It is an arithmetic number, because the mean of its divisors is an integer number (211974000).

Almost surely, 221539909664 is an apocalyptic number.

21539909664 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 21539909664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40699008000).

21539909664 is an abundant number, since it is smaller than the sum of its proper divisors (59858106336).

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

21539909664 is a wasteful number, since it uses less digits than its factorization.

21539909664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14477 (or 14463 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 21539909664 in words is "twenty-one billion, five hundred thirty-nine million, nine hundred nine thousand, six hundred sixty-four".