| Base | Representation |
|---|---|
| bin | 11000100101101111… |
| … | …01010011110100000 |
| 3 | 1021002000220212010000 |
| 4 | 30102313222132200 |
| 5 | 204014034434210 |
| 6 | 10021545340000 |
| 7 | 645100521420 |
| oct | 142267523640 |
| 9 | 37060825100 |
| 10 | 13201483680 |
| 11 | 56649910a0 |
| 12 | 2685197600 |
| 13 | 1325058408 |
| 14 | 8d3416480 |
| 15 | 523ea0ac0 |
| hex | 312dea7a0 |
13201483680 has 480 divisors, whose sum is σ = 58090919040. Its totient is φ = 2742958080.
The previous prime is 13201483667. The next prime is 13201483681. The reversal of 13201483680 is 8638410231.
13201483680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (480).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (13201483681) 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 79 ways as a sum of consecutive naturals, for example, 991306 + ... + 1004534.
It is an arithmetic number, because the mean of its divisors is an integer number (121022748).
Almost surely, 213201483680 is an apocalyptic number.
13201483680 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 13201483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29045459520).
13201483680 is an abundant number, since it is smaller than the sum of its proper divisors (44889435360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13201483680 is a wasteful number, since it uses less digits than its factorization.
13201483680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13274 (or 13257 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 13201483680 in words is "thirteen billion, two hundred one million, four hundred eighty-three thousand, six hundred eighty".
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