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23405967360 = 21134528219
BaseRepresentation
bin10101110011000110…
…101011100000000000
32020102012110100010000
4111303012223200000
5340413411423420
614430315040000
71456010303616
oct256306534000
966365410100
1023405967360
119a21070786
124652740000
13229020c939
1411c07a76b6
1591eca1690
hex5731ab800

23405967360 has 240 divisors, whose sum is σ = 83897213400. Its totient is φ = 6241370112.

The previous prime is 23405967337. The next prime is 23405967379. The reversal of 23405967360 is 6376950432.

23405967360 is a `hidden beast` number, since 23 + 4 + 0 + 596 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 815331 + ... + 843549.

Almost surely, 223405967360 is an apocalyptic number.

23405967360 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 23405967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41948606700).

23405967360 is an abundant number, since it is smaller than the sum of its proper divisors (60491246040).

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

23405967360 is an equidigital number, since it uses as much as digits as its factorization.

23405967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28258 (or 28229 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 23405967360 in words is "twenty-three billion, four hundred five million, nine hundred sixty-seven thousand, three hundred sixty".