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21322465920 = 27345767877
BaseRepresentation
bin10011110110111010…
…110000001010000000
32001000222222111110000
4103312322300022000
5322132022402140
613443450240000
71353250653450
oct236672601200
961028874400
1021322465920
119051a81268
124170a26000
13201a67a552
141063bb3d60
1584bde7a30
hex4f6eb0280

21322465920 has 640 divisors, whose sum is σ = 88424012160. Its totient is φ = 4795490304.

The previous prime is 21322465919. The next prime is 21322465921. The reversal of 21322465920 is 2956422312.

21322465920 is a `hidden beast` number, since 2 + 1 + 3 + 22 + 46 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21322465919) and next prime (21322465921).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×213224659202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21322465921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24312522 + ... + 24313398.

It is an arithmetic number, because the mean of its divisors is an integer number (138162519).

Almost surely, 221322465920 is an apocalyptic number.

21322465920 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 21322465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44212006080).

21322465920 is an abundant number, since it is smaller than the sum of its proper divisors (67101546240).

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

21322465920 is an equidigital number, since it uses as much as digits as its factorization.

21322465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21322465920 in words is "twenty-one billion, three hundred twenty-two million, four hundred sixty-five thousand, nine hundred twenty".