| Base | Representation |
|---|---|
| bin | 10111111001000101… |
| … | …000001101000000000 |
| 3 | 2110012211221000002000 |
| 4 | 113321011001220000 |
| 5 | 410014320240030 |
| 6 | 15441331224000 |
| 7 | 1565502454560 |
| oct | 277105015000 |
| 9 | 73184830060 |
| 10 | 25653680640 |
| 11 | a974919a65 |
| 12 | 4b7b448000 |
| 13 | 255aaa88b3 |
| 14 | 1355104da0 |
| 15 | a02295860 |
| hex | 5f9141a00 |
25653680640 has 640 divisors, whose sum is σ = 107031006720. Its totient is φ = 5701238784.
The previous prime is 25653680627. The next prime is 25653680641. The reversal of 25653680640 is 4608635652.
25653680640 is a `hidden beast` number, since 2 + 56 + 536 + 8 + 0 + 64 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-3 number, since 3×256536806403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 (25653680641) 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 63 ways as a sum of consecutive naturals, for example, 17901364 + ... + 17902796.
It is an arithmetic number, because the mean of its divisors is an integer number (167235948).
Almost surely, 225653680640 is an apocalyptic number.
25653680640 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 25653680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53515503360).
25653680640 is an abundant number, since it is smaller than the sum of its proper divisors (81377326080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
25653680640 is a wasteful number, since it uses less digits than its factorization.
25653680640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1509 (or 1487 counting only the distinct ones).
The product of its (nonzero) digits is 1036800, while the sum is 45.
The spelling of 25653680640 in words is "twenty-five billion, six hundred fifty-three million, six hundred eighty thousand, six hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 5.084 sec. • engine limits •