| Base | Representation |
|---|---|
| bin | 101010001100110001… |
| … | …101011111100000001 |
| 3 | 11022221211121010000100 |
| 4 | 222030301223330001 |
| 5 | 1220244221230400 |
| 6 | 32452114513013 |
| 7 | 3162601315344 |
| oct | 521461537401 |
| 9 | 138854533010 |
| 10 | 45311508225 |
| 11 | 1824218a865 |
| 12 | 8946895769 |
| 13 | 437160b139 |
| 14 | 229bb9a45b |
| 15 | 12a2e72100 |
| hex | a8cc6bf01 |
45311508225 has 81 divisors (see below), whose sum is σ = 84977696713. Its totient is φ = 23077971840.
The previous prime is 45311508211. The next prime is 45311508227. The reversal of 45311508225 is 52280511354.
The square root of 45311508225 is 212865.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 21337321329 + 23974186896 = 146073^2 + 154836^2 .
It is not a de Polignac number, because 45311508225 - 233 = 36721573633 is a prime.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 45311508225.
It is not an unprimeable number, because it can be changed into a prime (45311508227) 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 80 ways as a sum of consecutive naturals, for example, 73438117 + ... + 73438733.
Almost surely, 245311508225 is an apocalyptic number.
45311508225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
45311508225 is the 212865-th square number.
45311508225 is the 106433-rd centered octagonal number.
It is an amenable number.
45311508225 is a deficient number, since it is larger than the sum of its proper divisors (39666188488).
45311508225 is an equidigital number, since it uses as much as digits as its factorization.
45311508225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1296 (or 648 counting only the distinct ones).
The product of its (nonzero) digits is 48000, while the sum is 36.
Multiplying 45311508225 by its sum of digits (36), we get a square (1631214296100 = 12771902).
It can be divided in two parts, 45311 and 508225, that added together give a square (553536 = 7442).
The spelling of 45311508225 in words is "forty-five billion, three hundred eleven million, five hundred eight thousand, two hundred twenty-five".
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