Base | Representation |
---|---|
bin | 10111001011100000… |
… | …00100011010001001 |
3 | 1012010021120000110000 |
4 | 23211300010122021 |
5 | 200441244034100 |
6 | 5414505113213 |
7 | 620246441442 |
oct | 134560043211 |
9 | 35107500400 |
10 | 12444518025 |
11 | 5306673645 |
12 | 24b3788809 |
13 | 1234292244 |
14 | 860a902c9 |
15 | 4cc7c9900 |
hex | 2e5c04689 |
12444518025 has 135 divisors (see below), whose sum is σ = 24050282949. Its totient is φ = 6361312320.
The previous prime is 12444518011. The next prime is 12444518029. The reversal of 12444518025 is 52081544421.
The square root of 12444518025 is 111555.
It is a perfect power (a square), and thus also a powerful number.
12444518025 is a `hidden beast` number, since 12 + 4 + 445 + 180 + 25 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1181365641 + 11263152384 = 34371^2 + 106128^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is not a de Polignac number, because 12444518025 - 211 = 12444515977 is a prime.
It is not an unprimeable number, because it can be changed into a prime (12444518029) by changing a digit.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 185739042 + ... + 185739108.
Almost surely, 212444518025 is an apocalyptic number.
12444518025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
12444518025 is the 111555-th square number.
12444518025 is the 55778-th centered octagonal number.
It is an amenable number.
12444518025 is a deficient number, since it is larger than the sum of its proper divisors (11605764924).
12444518025 is an frugal number, since it uses more digits than its factorization.
12444518025 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 230 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 51200, while the sum is 36.
Multiplying 12444518025 by its sum of digits (36), we get a square (448002648900 = 6693302).
The spelling of 12444518025 in words is "twelve billion, four hundred forty-four million, five hundred eighteen thousand, twenty-five".
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