| Base | Representation |
|---|---|
| bin | 10111011011111100… |
| … | …11001001010000000 |
| 3 | 1012110220011202110000 |
| 4 | 23231332121022000 |
| 5 | 201232104201002 |
| 6 | 5440314240000 |
| 7 | 623543256336 |
| oct | 135576311200 |
| 9 | 35426152400 |
| 10 | 12582490752 |
| 11 | 5377540597 |
| 12 | 2531a26000 |
| 13 | 1256a3c900 |
| 14 | 875127b56 |
| 15 | 4d998061c |
| hex | 2edf99280 |
12582490752 has 480 divisors, whose sum is σ = 41738669280. Its totient is φ = 3758856192.
The previous prime is 12582490747. The next prime is 12582490757. The reversal of 12582490752 is 25709428521.
12582490752 is a `hidden beast` number, since 12 + 5 + 82 + 490 + 75 + 2 = 666.
12582490752 is digitally balanced in base 2, 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 (12582490747) and next prime (12582490757).
It is a junction number, because it is equal to n+sod(n) for n = 12582490698 and 12582490707.
It is not an unprimeable number, because it can be changed into a prime (12582490757) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 75344173 + ... + 75344339.
It is an arithmetic number, because the mean of its divisors is an integer number (86955561).
Almost surely, 212582490752 is an apocalyptic number.
12582490752 is a gapful number since it is divisible by the number (12) 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 12582490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20869334640).
12582490752 is an abundant number, since it is smaller than the sum of its proper divisors (29156178528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12582490752 is a wasteful number, since it uses less digits than its factorization.
12582490752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 262 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 403200, while the sum is 45.
The spelling of 12582490752 in words is "twelve billion, five hundred eighty-two million, four hundred ninety thousand, seven hundred fifty-two".
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