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21843406080 = 283105172
BaseRepresentation
bin10100010101111101…
…111110110100000000
32002101022020000000000
4110111331332310000
5324213402443310
614011300000000
71402204613436
oct242575766400
962338200000
1021843406080
11929a040321
124297390000
1320a1584972
1410b305ad56
1587c9ea4c0
hex515f7ed00

21843406080 has 594 divisors, whose sum is σ = 83370399126. Its totient is φ = 5482266624.

The previous prime is 21843406037. The next prime is 21843406231. The reversal of 21843406080 is 8060434812.

21843406080 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 3 + 40 + 608 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7316407296 + 14526998784 = 85536^2 + 120528^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 1284906232 + ... + 1284906248.

Almost surely, 221843406080 is an apocalyptic number.

21843406080 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 21843406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41685199563).

21843406080 is an abundant number, since it is smaller than the sum of its proper divisors (61526993046).

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

21843406080 is an frugal number, since it uses more digits than its factorization.

21843406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21843406080 in words is "twenty-one billion, eight hundred forty-three million, four hundred six thousand, eighty".