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23927125320 = 233257217731093
BaseRepresentation
bin10110010010001010…
…101111010101001000
32021202112002220102200
4112102022233111020
5343000321002240
614554133200200
71504636131600
oct262212572510
967675086380
1023927125320
11a16926943a
124779190060
132344192227
14122daa9c00
159508e8930
hex5922af548

23927125320 has 576 divisors, whose sum is σ = 97181201520. Its totient is φ = 5072191488.

The previous prime is 23927125319. The next prime is 23927125351. The reversal of 23927125320 is 2352172932.

It is a happy number.

23927125320 is a `hidden beast` number, since 23 + 92 + 7 + 12 + 532 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21227907204 + 2699218116 = 145698^2 + 51954^2 .

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 143 ways as a sum of consecutive naturals, for example, 21890694 + ... + 21891786.

Almost surely, 223927125320 is an apocalyptic number.

23927125320 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 23927125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48590600760).

23927125320 is an abundant number, since it is smaller than the sum of its proper divisors (73254076200).

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

23927125320 is a wasteful number, since it uses less digits than its factorization.

23927125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1200 counting only the distinct ones).

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

The spelling of 23927125320 in words is "twenty-three billion, nine hundred twenty-seven million, one hundred twenty-five thousand, three hundred twenty".