Base | Representation |
---|---|
bin | 1010100101111111011010… |
… | …10100101101110000001000 |
3 | 10001111000222200002211221000 |
4 | 11102333231110231300020 |
5 | 11023133331323323210 |
6 | 121313502421415000 |
7 | 4623023263461600 |
oct | 522775524556010 |
9 | 101430880084830 |
10 | 23295589276680 |
11 | 7471670917326 |
12 | 2742a1186a460 |
13 | ccc9c2bc6686 |
14 | 5a7726589c00 |
15 | 2a5e89932ac0 |
hex | 152fed52dc08 |
23295589276680 has 1536 divisors, whose sum is σ = 93380117760000. Its totient is φ = 5148998959104.
The previous prime is 23295589276649. The next prime is 23295589276697. The reversal of 23295589276680 is 8667298559232.
23295589276680 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 558 + 9 + 2 + 7 + 6 + 68 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 23295589276599 and 23295589276608.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50975031012 + ... + 50975031468.
It is an arithmetic number, because the mean of its divisors is an integer number (60794347500).
Almost surely, 223295589276680 is an apocalyptic number.
23295589276680 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 23295589276680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46690058880000).
23295589276680 is an abundant number, since it is smaller than the sum of its proper divisors (70084528483320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23295589276680 is a wasteful number, since it uses less digits than its factorization.
23295589276680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 796 (or 779 counting only the distinct ones).
The product of its (nonzero) digits is 783820800, while the sum is 72.
The spelling of 23295589276680 in words is "twenty-three trillion, two hundred ninety-five billion, five hundred eighty-nine million, two hundred seventy-six thousand, six hundred eighty".
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