| Base | Representation |
|---|---|
| bin | 11010010111100110101111… |
| … | …10000110100000000000000 |
| 3 | 21121022101011121220200001000 |
| 4 | 31023303113300310000000 |
| 5 | 30100014132132041334 |
| 6 | 323154130343412000 |
| 7 | 15133220110662162 |
| oct | 1513632760640000 |
| 9 | 247271147820030 |
| 10 | 57985678393344 |
| 11 | 17526651851269 |
| 12 | 660601a454000 |
| 13 | 26480451b3970 |
| 14 | 1046743bb4932 |
| 15 | 6a8519616299 |
| hex | 34bcd7c34000 |
57985678393344 has 2880 divisors, whose sum is σ = 217453262100480. Its totient is φ = 15104779223040.
The previous prime is 57985678393339. The next prime is 57985678393373. The reversal of 57985678393344 is 44339387658975.
57985678393344 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 567 + 8 + 3 + 9 + 3 + 3 + 44 = 666.
It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.
Its product of digits (16460236800) is a multiple of the sum of its prime factors (189).
It is a congruent number.
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 191 ways as a sum of consecutive naturals, for example, 1094069403622 + ... + 1094069403674.
It is an arithmetic number, because the mean of its divisors is an integer number (75504604896).
Almost surely, 257985678393344 is an apocalyptic number.
57985678393344 is a gapful number since it is divisible by the number (54) 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 57985678393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108726631050240).
57985678393344 is an abundant number, since it is smaller than the sum of its proper divisors (159467583707136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57985678393344 is a wasteful number, since it uses less digits than its factorization.
57985678393344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 189 (or 138 counting only the distinct ones).
The product of its digits is 16460236800, while the sum is 81.
The spelling of 57985678393344 in words is "fifty-seven trillion, nine hundred eighty-five billion, six hundred seventy-eight million, three hundred ninety-three thousand, three hundred forty-four".
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