Base | Representation |
---|---|
bin | 10110101100110001… |
… | …01001111000111000 |
3 | 1011110022110121120110 |
4 | 23112120221320320 |
5 | 144424300044343 |
6 | 5333135424320 |
7 | 610666266210 |
oct | 132630517070 |
9 | 34408417513 |
10 | 12186721848 |
11 | 51940a5554 |
12 | 24413850a0 |
13 | 11c2a50122 |
14 | 838745240 |
15 | 4b4d55833 |
hex | 2d6629e38 |
12186721848 has 128 divisors (see below), whose sum is σ = 35946662400. Its totient is φ = 3370622976.
The previous prime is 12186721819. The next prime is 12186721849. The reversal of 12186721848 is 84812768121.
12186721848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 12186721797 and 12186721806.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12186721849) 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, 808848 + ... + 823776.
It is an arithmetic number, because the mean of its divisors is an integer number (280833300).
Almost surely, 212186721848 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 12186721848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17973331200).
12186721848 is an abundant number, since it is smaller than the sum of its proper divisors (23759940552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12186721848 is a wasteful number, since it uses less digits than its factorization.
12186721848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15101 (or 15097 counting only the distinct ones).
The product of its digits is 344064, while the sum is 48.
The spelling of 12186721848 in words is "twelve billion, one hundred eighty-six million, seven hundred twenty-one thousand, eight hundred forty-eight".
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