| Base | Representation |
|---|---|
| bin | 1011100011011111001100… |
| … | …0001101001101000000000 |
| 3 | 1122222112000012111002210010 |
| 4 | 2320313303001221220000 |
| 5 | 3131121344132343100 |
| 6 | 43004134532504520 |
| 7 | 2450566200525141 |
| oct | 270676301515000 |
| 9 | 48875005432703 |
| 10 | 12704295590400 |
| 11 | 405895272a107 |
| 12 | 1512216a7b140 |
| 13 | 712018a93b9b |
| 14 | 31cc695bdac8 |
| 15 | 17070418a750 |
| hex | b8df3069a00 |
12704295590400 has 480 divisors, whose sum is σ = 42263179358400. Its totient is φ = 3364031692800.
The previous prime is 12704295590387. The next prime is 12704295590429. The reversal of 12704295590400 is 409559240721.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×127042955904002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 12704295590400.
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 47 ways as a sum of consecutive naturals, for example, 7847000791 + ... + 7847002409.
It is an arithmetic number, because the mean of its divisors is an integer number (88048290330).
Almost surely, 212704295590400 is an apocalyptic number.
12704295590400 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 12704295590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21131589679200).
12704295590400 is an abundant number, since it is smaller than the sum of its proper divisors (29558883768000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12704295590400 is a wasteful number, since it uses less digits than its factorization.
12704295590400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2960 (or 2939 counting only the distinct ones).
The product of its (nonzero) digits is 907200, while the sum is 48.
The spelling of 12704295590400 in words is "twelve trillion, seven hundred four billion, two hundred ninety-five million, five hundred ninety thousand, four hundred".
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