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21930608655360 = 2103251991923893
BaseRepresentation
bin1001111110010000111100…
…01000110111110000000000
32212122112201211020210221100
410333020132020313300000
510333302341303432420
6114350441005454400
74422301632565506
oct477103610676000
985575654223840
1021930608655360
116a9579a946609
122562370571400
13c31080539b62
1455b638c92676
152806eadd0190
hex13f21e237c00

21930608655360 has 264 divisors, whose sum is σ = 75995983327680. Its totient is φ = 5847623958528.

The previous prime is 21930608655359. The next prime is 21930608655407. The reversal of 21930608655360 is 6355680603912.

It is a happy number.

21930608655360 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 0 + 6 + 0 + 86 + 553 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21930608655297 and 21930608655306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917855574 + ... + 917879466.

Almost surely, 221930608655360 is an apocalyptic number.

21930608655360 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 21930608655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997991663840).

21930608655360 is an abundant number, since it is smaller than the sum of its proper divisors (54065374672320).

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

21930608655360 is a wasteful number, since it uses less digits than its factorization.

21930608655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43843 (or 43822 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 21930608655360 in words is "twenty-one trillion, nine hundred thirty billion, six hundred eight million, six hundred fifty-five thousand, three hundred sixty".