Base | Representation |
---|---|
bin | 10110000010001101… |
… | …101011010111100000 |
3 | 2021001212110002201200 |
4 | 112002031223113200 |
5 | 341423310210224 |
6 | 14511412201200 |
7 | 1465206043452 |
oct | 260215532740 |
9 | 67055402650 |
10 | 23659460064 |
11 | a04116a589 |
12 | 4703609200 |
13 | 23008a6016 |
14 | 12063122d2 |
15 | 9371755c9 |
hex | 58236b5e0 |
23659460064 has 72 divisors (see below), whose sum is σ = 67459424760. Its totient is φ = 7865641728.
The previous prime is 23659460063. The next prime is 23659460087. The reversal of 23659460064 is 46006495632.
23659460064 is a `hidden beast` number, since 2 + 36 + 5 + 9 + 4 + 600 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23659460063) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774 + ... + 217530.
It is an arithmetic number, because the mean of its divisors is an integer number (936936455).
Almost surely, 223659460064 is an apocalyptic number.
23659460064 is a gapful number since it is divisible by the number (24) 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 23659460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33729712380).
23659460064 is an abundant number, since it is smaller than the sum of its proper divisors (43799964696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23659460064 is a wasteful number, since it uses less digits than its factorization.
23659460064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 217152 (or 217141 counting only the distinct ones).
The product of its (nonzero) digits is 933120, while the sum is 45.
The spelling of 23659460064 in words is "twenty-three billion, six hundred fifty-nine million, four hundred sixty thousand, sixty-four".
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