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23870920320 = 273551311807
BaseRepresentation
bin10110001110110100…
…010101011010000000
32021121121100101200000
4112032310111122000
5342341423422240
614544404400000
71503354321612
oct261664253200
967547311600
1023870920320
11a13a56a825
1247623a6000
132335643730
141226438db2
1594a9e5430
hex58ed15680

23870920320 has 384 divisors, whose sum is σ = 92065559040. Its totient is φ = 5875421184.

The previous prime is 23870920303. The next prime is 23870920361. The reversal of 23870920320 is 2302907832.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015857 + ... + 2027663.

It is an arithmetic number, because the mean of its divisors is an integer number (239754060).

Almost surely, 223870920320 is an apocalyptic number.

23870920320 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 23870920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46032779520).

23870920320 is an abundant number, since it is smaller than the sum of its proper divisors (68194638720).

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

23870920320 is a wasteful number, since it uses less digits than its factorization.

23870920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 23870920320 in words is "twenty-three billion, eight hundred seventy million, nine hundred twenty thousand, three hundred twenty".