Base | Representation |
---|---|
bin | 10101011111110100… |
… | …101000000000000000 |
3 | 2012120122201211111100 |
4 | 111133310220000000 |
5 | 334233102423303 |
6 | 14334241214400 |
7 | 1445001510054 |
oct | 253764500000 |
9 | 65518654440 |
10 | 23082467328 |
11 | 98754a6388 |
12 | 4582331400 |
13 | 223b1a45bb |
14 | 118d837c64 |
15 | 90169e8a3 |
hex | 55fd28000 |
23082467328 has 384 divisors, whose sum is σ = 72136733760. Its totient is φ = 7093616640.
The previous prime is 23082467323. The next prime is 23082467333. The reversal of 23082467328 is 82376428032.
It is an interprime number because it is at equal distance from previous prime (23082467323) and next prime (23082467333).
It is a tau number, because it is divible by the number of its divisors (384).
It is not an unprimeable number, because it can be changed into a prime (23082467323) 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, 278101975 + ... + 278102057.
Almost surely, 223082467328 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 23082467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36068366880).
23082467328 is an abundant number, since it is smaller than the sum of its proper divisors (49054266432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23082467328 is an equidigital number, since it uses as much as digits as its factorization.
23082467328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 183 (or 152 counting only the distinct ones).
The product of its (nonzero) digits is 774144, while the sum is 45.
The spelling of 23082467328 in words is "twenty-three billion, eighty-two million, four hundred sixty-seven thousand, three hundred twenty-eight".
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