| Base | Representation |
|---|---|
| bin | 10111111100111011011… |
| … | …10111110011000000000 |
| 3 | 2220200021020122022200000 |
| 4 | 23332131232332120000 |
| 5 | 101440433140344220 |
| 6 | 1430024002400000 |
| 7 | 113313223563603 |
| oct | 13763556763000 |
| 9 | 2820236568600 |
| 10 | 822985090560 |
| 11 | 2980316a0506 |
| 12 | 113600060000 |
| 13 | 5c7b7c18489 |
| 14 | 2bb92c9233a |
| 15 | 1661b159390 |
| hex | bf9dbbe600 |
822985090560 has 960 divisors, whose sum is σ = 3185121139200. Its totient is φ = 202898276352.
The previous prime is 822985090507. The next prime is 822985090589. The reversal of 822985090560 is 65090589228.
822985090560 is a `hidden beast` number, since 8 + 2 + 29 + 8 + 50 + 9 + 0 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×8229850905602 (a number of 25 digits) contains 22 as substring.
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 = 822985090497 and 822985090506.
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 95 ways as a sum of consecutive naturals, for example, 623945581 + ... + 623946899.
It is an arithmetic number, because the mean of its divisors is an integer number (3317834520).
Almost surely, 2822985090560 is an apocalyptic number.
822985090560 is a gapful number since it is divisible by the number (80) 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 822985090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592560569600).
822985090560 is an abundant number, since it is smaller than the sum of its proper divisors (2362136048640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
822985090560 is a wasteful number, since it uses less digits than its factorization.
822985090560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1433 (or 1405 counting only the distinct ones).
The product of its (nonzero) digits is 3110400, while the sum is 54.
The spelling of 822985090560 in words is "eight hundred twenty-two billion, nine hundred eighty-five million, ninety thousand, five hundred sixty".
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