| Base | Representation |
|---|---|
| bin | 1111000000111111110… |
| … | …0000000000000000000 |
| 3 | 220122212001110100112200 |
| 4 | 3300033330000000000 |
| 5 | 13211303122042030 |
| 6 | 314301354153200 |
| 7 | 24431423634060 |
| oct | 3601774000000 |
| 9 | 818761410480 |
| 10 | 257965424640 |
| 11 | 9a447836720 |
| 12 | 41bb4122800 |
| 13 | 1b4313b7601 |
| 14 | c6b26793a0 |
| 15 | 6a9c284d60 |
| hex | 3c0ff00000 |
257965424640 has 1008 divisors, whose sum is σ = 1130649601536. Its totient is φ = 52848230400.
The previous prime is 257965424627. The next prime is 257965424653. The reversal of 257965424640 is 46424569752.
257965424640 is a `hidden beast` number, since 2 + 5 + 7 + 96 + 542 + 4 + 6 + 4 + 0 = 666.
257965424640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (257965424627) and next prime (257965424653).
It is a tau number, because it is divible by the number of its divisors (1008).
It is a zygodrome in base 2 and base 4.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3633315805 + ... + 3633315875.
It is an arithmetic number, because the mean of its divisors is an integer number (1121676192).
Almost surely, 2257965424640 is an apocalyptic number.
257965424640 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 257965424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565324800768).
257965424640 is an abundant number, since it is smaller than the sum of its proper divisors (872684176896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257965424640 is an frugal number, since it uses more digits than its factorization.
257965424640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 140 (or 99 counting only the distinct ones).
The product of its (nonzero) digits is 14515200, while the sum is 54.
The spelling of 257965424640 in words is "two hundred fifty-seven billion, nine hundred sixty-five million, four hundred twenty-four thousand, six hundred forty".
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