| Base | Representation |
|---|---|
| bin | 1001100011010110… |
| … | …0110111111000000 |
| 3 | 20121200222100121100 |
| 4 | 2120311212333000 |
| 5 | 20222413041034 |
| 6 | 1102235254400 |
| 7 | 120354154005 |
| oct | 23065467700 |
| 9 | 6550870540 |
| 10 | 2564190144 |
| 11 | 10a646700a |
| 12 | 5b68aa400 |
| 13 | 31b315699 |
| 14 | 1a479d8ac |
| 15 | 1001aa099 |
| hex | 98d66fc0 |
2564190144 has 336 divisors, whose sum is σ = 8254471680. Its totient is φ = 757278720.
The previous prime is 2564190133. The next prime is 2564190149. The reversal of 2564190144 is 4410914652.
2564190144 is a `hidden beast` number, since 2 + 5 + 641 + 9 + 0 + 1 + 4 + 4 = 666.
2564190144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2564190099 and 2564190108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2564190149) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15354349 + ... + 15354515.
It is an arithmetic number, because the mean of its divisors is an integer number (24566880).
Almost surely, 22564190144 is an apocalyptic number.
2564190144 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 2564190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127235840).
2564190144 is an abundant number, since it is smaller than the sum of its proper divisors (5690281536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2564190144 is a wasteful number, since it uses less digits than its factorization.
2564190144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 288 (or 275 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 2564190144 is about 50637.8331289956. The cubic root of 2564190144 is about 1368.7267094054.
The spelling of 2564190144 in words is "two billion, five hundred sixty-four million, one hundred ninety thousand, one hundred forty-four".
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