Base | Representation |
---|---|
bin | 10110000000100110… |
… | …010000011000001000 |
3 | 2020222222102200220100 |
4 | 112000212100120020 |
5 | 341344340124210 |
6 | 14505003125400 |
7 | 1464426435513 |
oct | 260046203010 |
9 | 66888380810 |
10 | 23632348680 |
11 | a027932386 |
12 | 46b6513860 |
13 | 22c80a2a95 |
14 | 1202895d7a |
15 | 934abc5c0 |
hex | 580990608 |
23632348680 has 96 divisors (see below), whose sum is σ = 77126774400. Its totient is φ = 6275568768.
The previous prime is 23632348643. The next prime is 23632348681. The reversal of 23632348680 is 8684323632.
23632348680 is a `hidden beast` number, since 2 + 3 + 632 + 3 + 4 + 8 + 6 + 8 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (23632348681) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51294 + ... + 223373.
It is an arithmetic number, because the mean of its divisors is an integer number (803403900).
Almost surely, 223632348680 is an apocalyptic number.
23632348680 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 23632348680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38563387200).
23632348680 is an abundant number, since it is smaller than the sum of its proper divisors (53494425720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23632348680 is a wasteful number, since it uses less digits than its factorization.
23632348680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 274923 (or 274916 counting only the distinct ones).
The product of its (nonzero) digits is 995328, while the sum is 45.
The spelling of 23632348680 in words is "twenty-three billion, six hundred thirty-two million, three hundred forty-eight thousand, six hundred eighty".
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