| Base | Representation |
|---|---|
| bin | 1001100011010001… |
| … | …0101011011000000 |
| 3 | 20121200100101100000 |
| 4 | 2120310111123000 |
| 5 | 20222321343224 |
| 6 | 1102224200000 |
| 7 | 120351263010 |
| oct | 23064253300 |
| 9 | 6550311300 |
| 10 | 2563856064 |
| 11 | 10a6259010 |
| 12 | 5b6769000 |
| 13 | 31b2295c3 |
| 14 | 1a4713c40 |
| 15 | 1001410c9 |
| hex | 98d156c0 |
2563856064 has 336 divisors, whose sum is σ = 9505956096. Its totient is φ = 665625600.
The previous prime is 2563856051. The next prime is 2563856077. The reversal of 2563856064 is 4606583652.
2563856064 is a `hidden beast` number, since 2 + 5 + 6 + 38 + 5 + 606 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (2563856051) and next prime (2563856077).
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-3 number, since 3×25638560643 (a number of 29 digits) contains 333 as substring.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 1196434 + ... + 1198574.
It is an arithmetic number, because the mean of its divisors is an integer number (28291536).
Almost surely, 22563856064 is an apocalyptic number.
2563856064 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 2563856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752978048).
2563856064 is an abundant number, since it is smaller than the sum of its proper divisors (6942100032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2563856064 is a wasteful number, since it uses less digits than its factorization.
2563856064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2186 (or 2164 counting only the distinct ones).
The product of its (nonzero) digits is 1036800, while the sum is 45.
The square root of 2563856064 is about 50634.5343021934. The cubic root of 2563856064 is about 1368.6672645055.
The spelling of 2563856064 in words is "two billion, five hundred sixty-three million, eight hundred fifty-six thousand, sixty-four".
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