Base | Representation |
---|---|
bin | 10101100011001100… |
… | …111010000000000000 |
3 | 2012201121102022221000 |
4 | 111203030322000000 |
5 | 334342111223120 |
6 | 14344024332000 |
7 | 1446260436000 |
oct | 254314720000 |
9 | 65647368830 |
10 | 23139164160 |
11 | 98a4500572 |
12 | 4599314000 |
13 | 2249b65c18 |
14 | 1197196000 |
15 | 90664d990 |
hex | 56333a000 |
23139164160 has 896 divisors, whose sum is σ = 97511616000. Its totient is φ = 5202247680.
The previous prime is 23139164149. The next prime is 23139164179. The reversal of 23139164160 is 6146193132.
23139164160 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 9 + 1 + 641 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (896).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379330530 + ... + 379330590.
Almost surely, 223139164160 is an apocalyptic number.
23139164160 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 23139164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755808000).
23139164160 is an abundant number, since it is smaller than the sum of its proper divisors (74372451840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23139164160 is an frugal number, since it uses more digits than its factorization.
23139164160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 36.
The spelling of 23139164160 in words is "twenty-three billion, one hundred thirty-nine million, one hundred sixty-four thousand, one hundred sixty".
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