| Base | Representation |
|---|---|
| bin | 1001100010101100… |
| … | …1011100010110000 |
| 3 | 20121111211110111000 |
| 4 | 2120223023202300 |
| 5 | 20221213100204 |
| 6 | 1102100522000 |
| 7 | 120322006431 |
| oct | 23053134260 |
| 9 | 6544743430 |
| 10 | 2561456304 |
| 11 | 10a496a040 |
| 12 | 5b59b0300 |
| 13 | 31a899224 |
| 14 | 1a428b488 |
| 15 | eed1a039 |
| hex | 98acb8b0 |
2561456304 has 160 divisors (see below), whose sum is σ = 8216974080. Its totient is φ = 757209600.
The previous prime is 2561456281. The next prime is 2561456309. The reversal of 2561456304 is 4036541652.
2561456304 is a `hidden beast` number, since 2 + 5 + 6 + 14 + 5 + 630 + 4 = 666.
It is a super-2 number, since 2×25614563042 = 13122116794602680832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2561456309) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188259 + ... + 201405.
It is an arithmetic number, because the mean of its divisors is an integer number (51356088).
Almost surely, 22561456304 is an apocalyptic number.
2561456304 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 2561456304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108487040).
2561456304 is an abundant number, since it is smaller than the sum of its proper divisors (5655517776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2561456304 is a wasteful number, since it uses less digits than its factorization.
2561456304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13216 (or 13204 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The square root of 2561456304 is about 50610.8318840937. The cubic root of 2561456304 is about 1368.2401086698.
Adding to 2561456304 its reverse (4036541652), we get a palindrome (6597997956).
It can be divided in two parts, 25614 and 56304, that added together give a palindrome (81918).
The spelling of 2561456304 in words is "two billion, five hundred sixty-one million, four hundred fifty-six thousand, three hundred four".
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