| Base | Representation |
|---|---|
| bin | 11010001000111100101100… |
| … | …01100000000100100000000 |
| 3 | 21112112020021002022211220000 |
| 4 | 31010132112030000210000 |
| 5 | 30013241233131142200 |
| 6 | 322130521432520000 |
| 7 | 15051641131136055 |
| oct | 1504362614004400 |
| 9 | 245466232284800 |
| 10 | 57482067052800 |
| 11 | 1735200a32a205 |
| 12 | 65444abb50000 |
| 13 | 260c6c6b14cc0 |
| 14 | 102a20b0cd02c |
| 15 | 69a391931300 |
| hex | 344796300900 |
57482067052800 has 2160 divisors, whose sum is σ = 238140380071440. Its totient is φ = 13583068692480.
The previous prime is 57482067052769. The next prime is 57482067052807. The reversal of 57482067052800 is 825076028475.
57482067052800 is a `hidden beast` number, since 5 + 7 + 48 + 2 + 0 + 6 + 70 + 528 + 0 + 0 = 666.
It can be written as a sum of positive squares in 24 ways, for example, as 17183744227584 + 40298322825216 = 4145328^2 + 6348096^2 .
It is a tau number, because it is divible by the number of its divisors (2160).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (57482067052807) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38501048854 + ... + 38501050346.
It is an arithmetic number, because the mean of its divisors is an integer number (110250175959).
Almost surely, 257482067052800 is an apocalyptic number.
57482067052800 is a gapful number since it is divisible by the number (50) 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 57482067052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119070190035720).
57482067052800 is an abundant number, since it is smaller than the sum of its proper divisors (180658313018640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57482067052800 is a wasteful number, since it uses less digits than its factorization.
57482067052800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1770 (or 1742 counting only the distinct ones).
The product of its (nonzero) digits is 7526400, while the sum is 54.
The spelling of 57482067052800 in words is "fifty-seven trillion, four hundred eighty-two billion, sixty-seven million, fifty-two thousand, eight hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.072 sec. • engine limits •