| Base | Representation |
|---|---|
| bin | 1001100010101010… |
| … | …1100111111100000 |
| 3 | 20121111121002211100 |
| 4 | 2120222230333200 |
| 5 | 20221200044133 |
| 6 | 1102054114400 |
| 7 | 120320645544 |
| oct | 23052547740 |
| 9 | 6544532740 |
| 10 | 2561331168 |
| 11 | 10a4894020 |
| 12 | 5b594ba00 |
| 13 | 31a854296 |
| 14 | 1a4257a24 |
| 15 | eece2e13 |
| hex | 98aacfe0 |
2561331168 has 144 divisors (see below), whose sum is σ = 7971215616. Its totient is φ = 773694720.
The previous prime is 2561331167. The next prime is 2561331169. The reversal of 2561331168 is 8611331652.
2561331168 is a `hidden beast` number, since 2 + 5 + 613 + 31 + 1 + 6 + 8 = 666.
2561331168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2561331167) and next prime (2561331169).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2561331161) 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, 1161555 + ... + 1163757.
It is an arithmetic number, because the mean of its divisors is an integer number (55355664).
Almost surely, 22561331168 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 2561331168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985607808).
2561331168 is an abundant number, since it is smaller than the sum of its proper divisors (5409884448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2561331168 is a wasteful number, since it uses less digits than its factorization.
2561331168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2597 (or 2586 counting only the distinct ones).
The product of its digits is 25920, while the sum is 36.
The square root of 2561331168 is about 50609.5956118995. The cubic root of 2561331168 is about 1368.2178272197.
The spelling of 2561331168 in words is "two billion, five hundred sixty-one million, three hundred thirty-one thousand, one hundred sixty-eight".
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