| Base | Representation |
|---|---|
| bin | 111010011100100000101111… |
| … | …001101100111000011100000 |
| 3 | 1020201010100122100010122121200 |
| 4 | 322130200233031213003200 |
| 5 | 232142420144133444000 |
| 6 | 2310405144433121200 |
| 7 | 105066650242634460 |
| oct | 7234405715470340 |
| 9 | 1221110570118550 |
| 10 | 257045994828000 |
| 11 | 749a26599a5824 |
| 12 | 249b529b6b9200 |
| 13 | b057444367621 |
| 14 | 4769141c95ba0 |
| 15 | 1eab55234a500 |
| hex | e9c82f3670e0 |
257045994828000 has 1152 divisors, whose sum is σ = 1068437059522560. Its totient is φ = 57297300480000.
The previous prime is 257045994827989. The next prime is 257045994828011. The reversal of 257045994828000 is 828499540752.
257045994828000 is a `hidden beast` number, since 2 + 5 + 70 + 4 + 5 + 9 + 9 + 482 + 80 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (257045994827989) and next prime (257045994828011).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47434209291 + ... + 47434214709.
It is an arithmetic number, because the mean of its divisors is an integer number (927462725280).
Almost surely, 2257045994828000 is an apocalyptic number.
257045994828000 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 257045994828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534218529761280).
257045994828000 is an abundant number, since it is smaller than the sum of its proper divisors (811391064694560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257045994828000 is a wasteful number, since it uses less digits than its factorization.
257045994828000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10089 (or 10068 counting only the distinct ones).
The product of its (nonzero) digits is 58060800, while the sum is 63.
The spelling of 257045994828000 in words is "two hundred fifty-seven trillion, forty-five billion, nine hundred ninety-four million, eight hundred twenty-eight thousand".
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