Base | Representation |
---|---|
bin | 10101111111000001… |
… | …001110011011100100 |
3 | 2020221010121010222100 |
4 | 111333001032123210 |
5 | 341321100123124 |
6 | 14502215332100 |
7 | 1463655351261 |
oct | 257701163344 |
9 | 66833533870 |
10 | 23605864164 |
11 | a013993153 |
12 | 46a9681030 |
13 | 22c275bc7c |
14 | 11dd160268 |
15 | 9325da1c9 |
hex | 57f04e6e4 |
23605864164 has 81 divisors (see below), whose sum is σ = 61868996553. Its totient is φ = 7588685664.
The previous prime is 23605864151. The next prime is 23605864201. The reversal of 23605864164 is 46146850632.
The square root of 23605864164 is 153642.
It is a perfect power (a square), and thus also a powerful number.
23605864164 is a `hidden beast` number, since 2 + 3 + 6 + 0 + 586 + 4 + 1 + 64 = 666.
It can be written as a sum of positive squares in only one way, i.e., 12378342564 + 11227521600 = 111258^2 + 105960^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26733267 + ... + 26734149.
Almost surely, 223605864164 is an apocalyptic number.
23605864164 is the 153642-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23605864164
23605864164 is an abundant number, since it is smaller than the sum of its proper divisors (38263132389).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23605864164 is an equidigital number, since it uses as much as digits as its factorization.
23605864164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1834 (or 917 counting only the distinct ones).
The product of its (nonzero) digits is 829440, while the sum is 45.
The spelling of 23605864164 in words is "twenty-three billion, six hundred five million, eight hundred sixty-four thousand, one hundred sixty-four".
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