Base | Representation |
---|---|
bin | 10110101101000100… |
… | …01101000100100000 |
3 | 1011110111011210120222 |
4 | 23112202031010200 |
5 | 144430420201443 |
6 | 5333305222212 |
7 | 611026463564 |
oct | 132642150440 |
9 | 34414153528 |
10 | 12189225248 |
11 | 5195555382 |
12 | 2442191968 |
13 | 11c3418725 |
14 | 838bd76a4 |
15 | 4b519c468 |
hex | 2d688d120 |
12189225248 has 54 divisors (see below), whose sum is σ = 24890557419. Its totient is φ = 5875709952.
The previous prime is 12189225241. The next prime is 12189225253. The reversal of 12189225248 is 84252298121.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 4270361104 + 7918864144 = 65348^2 + 88988^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=78068.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 12189225199 and 12189225208.
It is not an unprimeable number, because it can be changed into a prime (12189225241) by changing a digit.
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 8 ways as a sum of consecutive naturals, for example, 18111440 + ... + 18112112.
Almost surely, 212189225248 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 12189225248
12189225248 is an abundant number, since it is smaller than the sum of its proper divisors (12701332171).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12189225248 is an frugal number, since it uses more digits than its factorization.
12189225248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1414 (or 704 counting only the distinct ones).
The product of its digits is 184320, while the sum is 44.
The spelling of 12189225248 in words is "twelve billion, one hundred eighty-nine million, two hundred twenty-five thousand, two hundred forty-eight".
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