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21622520832 = 2103113120641
BaseRepresentation
bin10100001000110011…
…010111110000000000
32001210220120212101220
4110020303113300000
5323240331131312
613533325355040
71363553252223
oct241063276000
961726525356
1021622520832
119196392a30
124235408a80
132067897333
14109199d5ba
15868417c8c
hex508cd7c00

21622520832 has 176 divisors, whose sum is σ = 64902411264. Its totient is φ = 6340608000.

The previous prime is 21622520819. The next prime is 21622520849. The reversal of 21622520832 is 23802522612.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 21622520793 and 21622520802.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1037232 + ... + 1057872.

Almost surely, 221622520832 is an apocalyptic number.

21622520832 is a gapful number since it is divisible by the number (22) 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 21622520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32451205632).

21622520832 is an abundant number, since it is smaller than the sum of its proper divisors (43279890432).

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

21622520832 is a wasteful number, since it uses less digits than its factorization.

21622520832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20706 (or 20688 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 21622520832 in words is "twenty-one billion, six hundred twenty-two million, five hundred twenty thousand, eight hundred thirty-two".