| Base | Representation |
|---|---|
| bin | 11000111111100000… |
| … | …11101110110000000 |
| 3 | 1021122002202211011010 |
| 4 | 30133300131312000 |
| 5 | 204434412410421 |
| 6 | 10055231520520 |
| 7 | 653334401016 |
| oct | 143760356600 |
| 9 | 37562684133 |
| 10 | 13417700736 |
| 11 | 5765a40180 |
| 12 | 2725689140 |
| 13 | 135aa9ccbb |
| 14 | 91401a8b6 |
| 15 | 537e60076 |
| hex | 31fc1dd80 |
13417700736 has 256 divisors, whose sum is σ = 41085665280. Its totient is φ = 3841689600.
The previous prime is 13417700731. The next prime is 13417700743. The reversal of 13417700736 is 63700771431.
It is a happy number.
13417700736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 13417700694 and 13417700703.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13417700731) 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 31 ways as a sum of consecutive naturals, for example, 5629401 + ... + 5631783.
It is an arithmetic number, because the mean of its divisors is an integer number (160490880).
Almost surely, 213417700736 is an apocalyptic number.
13417700736 is a gapful number since it is divisible by the number (16) 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 13417700736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542832640).
13417700736 is an abundant number, since it is smaller than the sum of its proper divisors (27667964544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13417700736 is a wasteful number, since it uses less digits than its factorization.
13417700736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2485 (or 2473 counting only the distinct ones).
The product of its (nonzero) digits is 74088, while the sum is 39.
It can be divided in two parts, 1341 and 7700736, that added together give a palindrome (7702077).
The spelling of 13417700736 in words is "thirteen billion, four hundred seventeen million, seven hundred thousand, seven hundred thirty-six".
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