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21396584880 = 243251121714447
BaseRepresentation
bin10011111011010101…
…011111100110110000
32001020011110010112200
4103323111133212300
5322310011204010
613455055023200
71355140653636
oct237325374660
961204403480
1021396584880
11908a8a5a00
12419180ab00
13202cb2bb18
14106d989356
15853688cc0
hex4fb55f9b0

21396584880 has 360 divisors, whose sum is σ = 83635022016. Its totient is φ = 4881592320.

The previous prime is 21396584837. The next prime is 21396584903. The reversal of 21396584880 is 8848569312.

21396584880 is a `hidden beast` number, since 21 + 3 + 96 + 58 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×213965848802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1473817 + ... + 1488263.

Almost surely, 221396584880 is an apocalyptic number.

21396584880 is a gapful number since it is divisible by the number (20) 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 21396584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41817511008).

21396584880 is an abundant number, since it is smaller than the sum of its proper divisors (62238437136).

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

21396584880 is a wasteful number, since it uses less digits than its factorization.

21396584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14505 (or 14485 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 21396584880 in words is "twenty-one billion, three hundred ninety-six million, five hundred eighty-four thousand, eight hundred eighty".