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23260997760 = 2735731113219
BaseRepresentation
bin10101101010011101…
…101010100010000000
32020001002200010012120
4111222131222202000
5340114303412020
614404055524240
71452300135000
oct255235524200
966032603176
1023260997760
1199572549a0
124612089680
132269182600
1411a942c000
159121b7740
hex56a76a880

23260997760 has 1536 divisors, whose sum is σ = 107516160000. Its totient is φ = 4226826240.

The previous prime is 23260997713. The next prime is 23260997849. The reversal of 23260997760 is 6779906232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1224263031 + ... + 1224263049.

It is an arithmetic number, because the mean of its divisors is an integer number (69997500).

Almost surely, 223260997760 is an apocalyptic number.

23260997760 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 23260997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53758080000).

23260997760 is an abundant number, since it is smaller than the sum of its proper divisors (84255162240).

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

23260997760 is a wasteful number, since it uses less digits than its factorization.

23260997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The spelling of 23260997760 in words is "twenty-three billion, two hundred sixty million, nine hundred ninety-seven thousand, seven hundred sixty".