| Base | Representation |
|---|---|
| bin | 10101110000011000… |
| … | …11100101100111001 |
| 3 | 1010011000100220221100 |
| 4 | 22320030130230321 |
| 5 | 142410113040000 |
| 6 | 5211003202013 |
| 7 | 562306052424 |
| oct | 127014345471 |
| 9 | 33130326840 |
| 10 | 11680205625 |
| 11 | 4a54198400 |
| 12 | 231b816309 |
| 13 | 1141b2609a |
| 14 | 7cb3749bb |
| 15 | 485651a00 |
| hex | 2b831cb39 |
11680205625 has 135 divisors (see below), whose sum is σ = 23351585257. Its totient is φ = 5619900000.
The previous prime is 11680205543. The next prime is 11680205639. The reversal of 11680205625 is 52650208611.
The square root of 11680205625 is 108075.
It is a perfect power (a square), and thus also a powerful number.
11680205625 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 0 + 20 + 5 + 625 = 666.
11680205625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 915728121 + 10764477504 = 30261^2 + 103752^2 .
It is not a de Polignac number, because 11680205625 - 215 = 11680172857 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 11680205625.
It is an unprimeable number.
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 134 ways as a sum of consecutive naturals, for example, 89161810 + ... + 89161940.
Almost surely, 211680205625 is an apocalyptic number.
11680205625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
11680205625 is the 108075-th square number.
11680205625 is the 54038-th centered octagonal number.
It is an amenable number.
11680205625 is a deficient number, since it is larger than the sum of its proper divisors (11671379632).
11680205625 is an equidigital number, since it uses as much as digits as its factorization.
11680205625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 310 (or 150 counting only the distinct ones).
The product of its (nonzero) digits is 28800, while the sum is 36.
Multiplying 11680205625 by its sum of digits (36), we get a square (420487402500 = 6484502).
The spelling of 11680205625 in words is "eleven billion, six hundred eighty million, two hundred five thousand, six hundred twenty-five".
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