Base | Representation |
---|---|
bin | 10010111000101110… |
… | …00011101110010001 |
3 | 222011122020002212100 |
4 | 21130113003232101 |
5 | 131231201424100 |
6 | 4354044151013 |
7 | 506160120000 |
oct | 113427035621 |
9 | 28148202770 |
10 | 10139483025 |
11 | 4333523741 |
12 | 1b6b838469 |
13 | c578763c9 |
14 | 6c28b0c37 |
15 | 3e5261400 |
hex | 25c5c3b91 |
10139483025 has 135 divisors (see below), whose sum is σ = 21342278321. Its totient is φ = 4601358720.
The previous prime is 10139482993. The next prime is 10139483027. The reversal of 10139483025 is 52038493101.
The square root of 10139483025 is 100695.
It is a perfect power (a square), and thus also a powerful number.
10139483025 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 4 ways, for example, as 29582721 + 10109900304 = 5439^2 + 100548^2 .
It is not a de Polignac number, because 10139483025 - 25 = 10139482993 is a prime.
It is not an unprimeable number, because it can be changed into a prime (10139483027) 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 134 ways as a sum of consecutive naturals, for example, 74010757 + ... + 74010893.
Almost surely, 210139483025 is an apocalyptic number.
10139483025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
10139483025 is the 100695-th square number.
10139483025 is the 50348-th centered octagonal number.
It is an amenable number.
10139483025 is an abundant number, since it is smaller than the sum of its proper divisors (11202795296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10139483025 is an frugal number, since it uses more digits than its factorization.
10139483025 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 318 (or 152 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
Multiplying 10139483025 by its sum of digits (36), we get a square (365021388900 = 6041702).
The spelling of 10139483025 in words is "ten billion, one hundred thirty-nine million, four hundred eighty-three thousand, twenty-five".
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