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23915112480 = 25325746917
BaseRepresentation
bin10110010001011100…
…111010100000100000
32021201200111120220200
4112101130322200200
5342434232044410
614553023505200
71504432050000
oct262134724040
967650446820
1023915112480
11a162503a76
124775158200
13234184743c
14122c260000
1594e8243c0
hex59173a820

23915112480 has 360 divisors, whose sum is σ = 95220140652. Its totient is φ = 5465521152.

The previous prime is 23915112439. The next prime is 23915112499. The reversal of 23915112480 is 8421151932.

23915112480 is a `hidden beast` number, since 23 + 9 + 151 + 1 + 2 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23914766736 + 345744 = 154644^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 3453982 + ... + 3460898.

Almost surely, 223915112480 is an apocalyptic number.

23915112480 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 23915112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47610070326).

23915112480 is an abundant number, since it is smaller than the sum of its proper divisors (71305028172).

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

23915112480 is an equidigital number, since it uses as much as digits as its factorization.

23915112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 23915112480 in words is "twenty-three billion, nine hundred fifteen million, one hundred twelve thousand, four hundred eighty".