Base | Representation |
---|---|
bin | 11000111011011010… |
… | …11010000000000000 |
3 | 1021112201010022202011 |
4 | 30131231122000000 |
5 | 204402114003003 |
6 | 10052003302304 |
7 | 652436356000 |
oct | 143555320000 |
9 | 37481108664 |
10 | 13383344128 |
11 | 5748604590 |
12 | 271607a994 |
13 | 135393104b |
14 | 90d636000 |
15 | 534e2546d |
hex | 31db5a000 |
13383344128 has 224 divisors, whose sum is σ = 34129065600. Its totient is φ = 5202247680.
The previous prime is 13383344083. The next prime is 13383344147. The reversal of 13383344128 is 82144338331.
It is a tau number, because it is divible by the number of its divisors (224).
It is a super-2 number, since 2×133833441282 (a number of 21 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30908200 + ... + 30908632.
It is an arithmetic number, because the mean of its divisors is an integer number (152361900).
Almost surely, 213383344128 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13383344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064532800).
13383344128 is an abundant number, since it is smaller than the sum of its proper divisors (20745721472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13383344128 is an frugal number, since it uses more digits than its factorization.
13383344128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491 (or 453 counting only the distinct ones).
The product of its digits is 165888, while the sum is 40.
The spelling of 13383344128 in words is "thirteen billion, three hundred eighty-three million, three hundred forty-four thousand, one hundred twenty-eight".
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