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23457910320 = 24325133736719
BaseRepresentation
bin10101110110001100…
…110100111000110000
32020112211012022110100
4111312030310320300
5341020211112240
614435412232400
71460210643045
oct256614647060
966484168410
1023457910320
119a48419249
12466800b700
13229abc8510
1411c76491cc
15924611e30
hex576334e30

23457910320 has 240 divisors, whose sum is σ = 85079554560. Its totient is φ = 5757917184.

The previous prime is 23457910291. The next prime is 23457910337. The reversal of 23457910320 is 2301975432.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3487921 + ... + 3494639.

It is an arithmetic number, because the mean of its divisors is an integer number (354498144).

Almost surely, 223457910320 is an apocalyptic number.

23457910320 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 23457910320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42539777280).

23457910320 is an abundant number, since it is smaller than the sum of its proper divisors (61621644240).

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

23457910320 is a wasteful number, since it uses less digits than its factorization.

23457910320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 23457910320 in words is "twenty-three billion, four hundred fifty-seven million, nine hundred ten thousand, three hundred twenty".