Base | Representation |
---|---|
bin | 1010100001111111111001… |
… | …00000001001000100000000 |
3 | 10000222220220001122100202000 |
4 | 11100333330200021010000 |
5 | 11013411403133230041 |
6 | 121130454022024000 |
7 | 4610065602251040 |
oct | 520777440110400 |
9 | 100886801570660 |
10 | 23158404976896 |
11 | 7419473964462 |
12 | 2720306b78000 |
13 | cbca9c79aba7 |
14 | 5a0c30cab720 |
15 | 2a260aeecbb6 |
hex | 150ffc809100 |
23158404976896 has 288 divisors, whose sum is σ = 82870765850880. Its totient is φ = 6227470024704.
The previous prime is 23158404976891. The next prime is 23158404976897. The reversal of 23158404976896 is 69867940485132.
23158404976896 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 8 + 40 + 497 + 6 + 8 + 96 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (23158404976891) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 13255051 + ... + 14900106.
It is an arithmetic number, because the mean of its divisors is an integer number (287745714760).
It is a 4-persistent number, because k⋅23158404976896 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.
Almost surely, 223158404976896 is an apocalyptic number.
It is an amenable number.
23158404976896 is an abundant number, since it is smaller than the sum of its proper divisors (59712360873984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23158404976896 is a wasteful number, since it uses less digits than its factorization.
23158404976896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28155206 (or 28155186 counting only the distinct ones).
The product of its (nonzero) digits is 627056640, while the sum is 72.
The spelling of 23158404976896 in words is "twenty-three trillion, one hundred fifty-eight billion, four hundred four million, nine hundred seventy-six thousand, eight hundred ninety-six".
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