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23158130688 = 21134731137
BaseRepresentation
bin10101100100010101…
…010000100000000000
32012202221002221010000
4111210111100200000
5334411440140223
614345543040000
71446610602000
oct254425204000
965687087100
1023158130688
119904185390
1245a3740000
132250a76b14
1411998d2000
15908148543
hex564550800

23158130688 has 960 divisors, whose sum is σ = 90378288000. Its totient is φ = 5852528640.

The previous prime is 23158130683. The next prime is 23158130693. The reversal of 23158130688 is 88603185132.

23158130688 is a `hidden beast` number, since 2 + 3 + 1 + 581 + 3 + 0 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (23158130683) and next prime (23158130693).

It is not an unprimeable number, because it can be changed into a prime (23158130683) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 625895406 + ... + 625895442.

It is an arithmetic number, because the mean of its divisors is an integer number (94144050).

Almost surely, 223158130688 is an apocalyptic number.

23158130688 is a gapful number since it is divisible by the number (28) 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 23158130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45189144000).

23158130688 is an abundant number, since it is smaller than the sum of its proper divisors (67220157312).

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

23158130688 is an equidigital number, since it uses as much as digits as its factorization.

23158130688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 23158130688 in words is "twenty-three billion, one hundred fifty-eight million, one hundred thirty thousand, six hundred eighty-eight".