| Base | Representation |
|---|---|
| bin | 1110111010011110010… |
| … | …0111011000110000000 |
| 3 | 220111100000212102220000 |
| 4 | 3232213210323012000 |
| 5 | 13144211410413033 |
| 6 | 313411530520000 |
| 7 | 24340143461040 |
| oct | 3564744730600 |
| 9 | 814300772800 |
| 10 | 256214544768 |
| 11 | 99729481766 |
| 12 | 417a5896000 |
| 13 | 1b212735310 |
| 14 | c587d0b720 |
| 15 | 69e86d0a13 |
| hex | 3ba793b180 |
256214544768 has 640 divisors, whose sum is σ = 979334737920. Its totient is φ = 64629633024.
The previous prime is 256214544763. The next prime is 256214544769. The reversal of 256214544768 is 867445412652.
256214544768 is a `hidden beast` number, since 2 + 5 + 6 + 21 + 4 + 544 + 76 + 8 = 666.
256214544768 is digitally balanced in base 2, because in such base 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 (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (256214544763) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21694321 + ... + 21706127.
It is an arithmetic number, because the mean of its divisors is an integer number (1530210528).
Almost surely, 2256214544768 is an apocalyptic number.
256214544768 is a gapful number since it is divisible by the number (28) 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 256214544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489667368960).
256214544768 is an abundant number, since it is smaller than the sum of its proper divisors (723120193152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256214544768 is a wasteful number, since it uses less digits than its factorization.
256214544768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11876 (or 11855 counting only the distinct ones).
The product of its digits is 12902400, while the sum is 54.
The spelling of 256214544768 in words is "two hundred fifty-six billion, two hundred fourteen million, five hundred forty-four thousand, seven hundred sixty-eight".
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