Base | Representation |
---|---|
bin | 11000000011111010… |
… | …01001100111101000 |
3 | 1020100020221121211100 |
4 | 30001331021213220 |
5 | 202423413144123 |
6 | 5533451201400 |
7 | 635053501011 |
oct | 140175114750 |
9 | 36306847740 |
10 | 12917709288 |
11 | 552978a200 |
12 | 2606146260 |
13 | 12ab31ba83 |
14 | 8a7868008 |
15 | 5090e9643 |
hex | 301f499e8 |
12917709288 has 144 divisors (see below), whose sum is σ = 38653524000. Its totient is φ = 3894264000.
The previous prime is 12917709283. The next prime is 12917709353. The reversal of 12917709288 is 88290771921.
12917709288 is a `hidden beast` number, since 1 + 291 + 7 + 70 + 9 + 288 = 666.
It is not an unprimeable number, because it can be changed into a prime (12917709283) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1729963 + ... + 1737413.
It is an arithmetic number, because the mean of its divisors is an integer number (268427250).
Almost surely, 212917709288 is an apocalyptic number.
12917709288 is a gapful number since it is divisible by the number (18) 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 12917709288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326762000).
12917709288 is an abundant number, since it is smaller than the sum of its proper divisors (25735814712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12917709288 is a wasteful number, since it uses less digits than its factorization.
12917709288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7684 (or 7666 counting only the distinct ones).
The product of its (nonzero) digits is 1016064, while the sum is 54.
The spelling of 12917709288 in words is "twelve billion, nine hundred seventeen million, seven hundred nine thousand, two hundred eighty-eight".
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