Base | Representation |
---|---|
bin | 10101110101000000… |
… | …100000111100100000 |
3 | 2020111102112222021100 |
4 | 111311000200330200 |
5 | 341000100440241 |
6 | 14433415354400 |
7 | 1456545624402 |
oct | 256500407440 |
9 | 66442488240 |
10 | 23437905696 |
11 | 9a380a54a7 |
12 | 4661382a00 |
13 | 2296a12c6a |
14 | 11c4b1cb72 |
15 | 9229ae9b6 |
hex | 575020f20 |
23437905696 has 144 divisors (see below), whose sum is σ = 71207791200. Its totient is φ = 7290860544.
The previous prime is 23437905587. The next prime is 23437905697. The reversal of 23437905696 is 69650973432.
23437905696 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 79 + 0 + 569 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (23437905697) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334660 + ... + 398588.
It is an arithmetic number, because the mean of its divisors is an integer number (494498550).
Almost surely, 223437905696 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23437905696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35603895600).
23437905696 is an abundant number, since it is smaller than the sum of its proper divisors (47769885504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23437905696 is a wasteful number, since it uses less digits than its factorization.
23437905696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64031 (or 64020 counting only the distinct ones).
The product of its (nonzero) digits is 7348320, while the sum is 54.
The spelling of 23437905696 in words is "twenty-three billion, four hundred thirty-seven million, nine hundred five thousand, six hundred ninety-six".
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