| Base | Representation |
|---|---|
| bin | 1111000000111010111… |
| … | …1110110101001000000 |
| 3 | 220122210122220012211000 |
| 4 | 3300032233312221000 |
| 5 | 13211233014311420 |
| 6 | 314255402252000 |
| 7 | 24431062155654 |
| oct | 3601657665100 |
| 9 | 818718805730 |
| 10 | 257945463360 |
| 11 | 9a4375424a2 |
| 12 | 41ba94b7000 |
| 13 | 1b42a2189c0 |
| 14 | c6adb60a64 |
| 15 | 6a9a640690 |
| hex | 3c0ebf6a40 |
257945463360 has 448 divisors, whose sum is σ = 982855641600. Its totient is φ = 63307505664.
The previous prime is 257945463359. The next prime is 257945463397. The reversal of 257945463360 is 63364549752.
257945463360 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 4 + 546 + 33 + 60 = 666.
257945463360 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 junction number, because it is equal to n+sod(n) for n = 257945463297 and 257945463306.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 40319682 + ... + 40326078.
It is an arithmetic number, because the mean of its divisors is an integer number (2193874200).
Almost surely, 2257945463360 is an apocalyptic number.
257945463360 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 257945463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491427820800).
257945463360 is an abundant number, since it is smaller than the sum of its proper divisors (724910178240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257945463360 is a wasteful number, since it uses less digits than its factorization.
257945463360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6795 (or 6779 counting only the distinct ones).
The product of its (nonzero) digits is 16329600, while the sum is 54.
The spelling of 257945463360 in words is "two hundred fifty-seven billion, nine hundred forty-five million, four hundred sixty-three thousand, three hundred sixty".
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