Base | Representation |
---|---|
bin | 10110101100100011… |
… | …00000011101100001 |
3 | 1011110011221102110000 |
4 | 23112101200131201 |
5 | 144423310120400 |
6 | 5333031330213 |
7 | 610644333564 |
oct | 132621403541 |
9 | 34404842400 |
10 | 12184848225 |
11 | 5193035900 |
12 | 2440820969 |
13 | 11c2545384 |
14 | 8383b84db |
15 | 4b4ad5600 |
hex | 2d6460761 |
12184848225 has 135 divisors (see below), whose sum is σ = 24920702499. Its totient is φ = 5881312800.
The previous prime is 12184848197. The next prime is 12184848317. The reversal of 12184848225 is 52284848121.
It is a happy number.
The square root of 12184848225 is 110385.
It is a perfect power (a square), and thus also a powerful number.
12184848225 is a `hidden beast` number, since 121 + 8 + 48 + 482 + 2 + 5 = 666.
It can be written as a sum of positive squares in only one way, i.e., 4386545361 + 7798302864 = 66231^2 + 88308^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is not a de Polignac number, because 12184848225 - 215 = 12184815457 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 54640464 + ... + 54640686.
Almost surely, 212184848225 is an apocalyptic number.
12184848225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
12184848225 is the 110385-th square number.
12184848225 is the 55193-rd centered octagonal number.
It is an amenable number.
12184848225 is an abundant number, since it is smaller than the sum of its proper divisors (12735854274).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12184848225 is an equidigital number, since it uses as much as digits as its factorization.
12184848225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 490 (or 242 counting only the distinct ones).
The product of its digits is 327680, while the sum is 45.
The spelling of 12184848225 in words is "twelve billion, one hundred eighty-four million, eight hundred forty-eight thousand, two hundred twenty-five".
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