| Base | Representation |
|---|---|
| bin | 1011100010001111001111… |
| … | …0001111011000000000000 |
| 3 | 1122220110121110121021100200 |
| 4 | 2320203303301323000000 |
| 5 | 3130243420323024000 |
| 6 | 42550225131445200 |
| 7 | 2446206302141610 |
| oct | 270436361730000 |
| 9 | 48813543537320 |
| 10 | 12682833408000 |
| 11 | 404a8398aa888 |
| 12 | 150a0272b6800 |
| 13 | 70cca84a8382 |
| 14 | 31bbd103aa40 |
| 15 | 16ed99d95500 |
| hex | b88f3c7b000 |
12682833408000 has 2496 divisors, whose sum is σ = 56117120267520. Its totient is φ = 2689597440000.
The previous prime is 12682833407999. The next prime is 12682833408001. The reversal of 12682833408000 is 80433828621.
12682833408000 is a `hidden beast` number, since 1 + 26 + 8 + 283 + 340 + 8 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (12682833407999) and next prime (12682833408001).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (12682833408001) by changing a digit.
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, 55383551886 + ... + 55383552114.
It is an arithmetic number, because the mean of its divisors is an integer number (22482820620).
Almost surely, 212682833408000 is an apocalyptic number.
12682833408000 is a gapful number since it is divisible by the number (10) 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 12682833408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28058560133760).
12682833408000 is an abundant number, since it is smaller than the sum of its proper divisors (43434286859520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12682833408000 is a wasteful number, since it uses less digits than its factorization.
12682833408000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 399 (or 364 counting only the distinct ones).
The product of its (nonzero) digits is 442368, while the sum is 45.
The spelling of 12682833408000 in words is "twelve trillion, six hundred eighty-two billion, eight hundred thirty-three million, four hundred eight thousand".
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