Base | Representation |
---|---|
bin | 1100010100001110… |
… | …10001010111001001 |
3 | 122001210212222010000 |
4 | 12022013101113021 |
5 | 102020201113400 |
6 | 3012040513213 |
7 | 322566112452 |
oct | 61207212711 |
9 | 18053788100 |
10 | 6612129225 |
11 | 2893413609 |
12 | 134647b809 |
13 | 814b50400 |
14 | 46a232129 |
15 | 28a74e600 |
hex | 18a1d15c9 |
6612129225 has 135 divisors (see below), whose sum is σ = 13358672613. Its totient is φ = 3231783360.
The previous prime is 6612129211. The next prime is 6612129259. The reversal of 6612129225 is 5229212166.
The square root of 6612129225 is 81315.
It is a perfect power (a square), and thus also a powerful number.
6612129225 is a `hidden beast` number, since 6 + 612 + 12 + 9 + 2 + 25 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1704286089 + 4907843136 = 41283^2 + 70056^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is not a de Polignac number, because 6612129225 - 25 = 6612129193 is a prime.
Its product of digits (25920) is a multiple of the sum of its prime divisors (160).
It is a self number, because there is not a number n which added to its sum of digits gives 6612129225.
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, 47569206 + ... + 47569344.
Almost surely, 26612129225 is an apocalyptic number.
6612129225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.
6612129225 is the 81315-th square number.
6612129225 is the 40658-th centered octagonal number.
It is an amenable number.
6612129225 is an abundant number, since it is smaller than the sum of its proper divisors (6746543388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6612129225 is a wasteful number, since it uses less digits than its factorization.
6612129225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 326 (or 160 counting only the distinct ones).
The product of its digits is 25920, while the sum is 36.
The cubic root of 6612129225 is about 1876.9258292863.
Multiplying 6612129225 by its sum of digits (36), we get a square (238036652100 = 4878902).
The spelling of 6612129225 in words is "six billion, six hundred twelve million, one hundred twenty-nine thousand, two hundred twenty-five".
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