Base | Representation |
---|---|
bin | 10101110000001010… |
… | …101100011001100000 |
3 | 2020021202201200111100 |
4 | 111300022230121200 |
5 | 340313303003333 |
6 | 14421354514400 |
7 | 1454541400125 |
oct | 256012543140 |
9 | 66252650440 |
10 | 23356687968 |
11 | 99a6272409 |
12 | 463a135a00 |
13 | 2282c47533 |
14 | 11b801a74c |
15 | 91a7ba213 |
hex | 5702ac660 |
23356687968 has 144 divisors (see below), whose sum is σ = 67240148976. Its totient is φ = 7690076160.
The previous prime is 23356687931. The next prime is 23356687993. The reversal of 23356687968 is 86978665332.
23356687968 is a `hidden beast` number, since 2 + 3 + 3 + 566 + 8 + 7 + 9 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8789296 + ... + 8791952.
It is an arithmetic number, because the mean of its divisors is an integer number (466945479).
Almost surely, 223356687968 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 23356687968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33620074488).
23356687968 is an abundant number, since it is smaller than the sum of its proper divisors (43883461008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23356687968 is a wasteful number, since it uses less digits than its factorization.
23356687968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3037 (or 3026 counting only the distinct ones).
The product of its digits is 78382080, while the sum is 63.
The spelling of 23356687968 in words is "twenty-three billion, three hundred fifty-six million, six hundred eighty-seven thousand, nine hundred sixty-eight".
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