Base | Representation |
---|---|
bin | 101100010111010101… |
… | …010111101000100001 |
3 | 11112221211202112012111 |
4 | 230113111113220201 |
5 | 1240024321234144 |
6 | 33514515155321 |
7 | 3304316215432 |
oct | 542725275041 |
9 | 145854675174 |
10 | 47636118049 |
11 | 1922538a603 |
12 | 92952a5b41 |
13 | 46520bba00 |
14 | 243c7d3489 |
15 | 138c0a5534 |
hex | b17557a21 |
47636118049 has 27 divisors (see below), whose sum is σ = 52409485107. Its totient is φ = 43277744016.
The previous prime is 47636118007. The next prime is 47636118077. The reversal of 47636118049 is 94081163674.
The square root of 47636118049 is 218257.
It is a perfect power (a square), and thus also a powerful number.
47636118049 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 only one way, i.e., 7046763025 + 40589355024 = 83945^2 + 201468^2 .
It is not a de Polignac number, because 47636118049 - 221 = 47634020897 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 47636117993 and 47636118011.
It is not an unprimeable number, because it can be changed into a prime (47636118449) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 292246042 + ... + 292246204.
It is an arithmetic number, because the mean of its divisors is an integer number (1941092041).
Almost surely, 247636118049 is an apocalyptic number.
47636118049 is the 218257-th square number.
47636118049 is the 109129-th centered octagonal number.
It is an amenable number.
47636118049 is a deficient number, since it is larger than the sum of its proper divisors (4773367058).
47636118049 is an equidigital number, since it uses as much as digits as its factorization.
47636118049 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 558 (or 279 counting only the distinct ones).
The product of its (nonzero) digits is 870912, while the sum is 49.
Multiplying 47636118049 by its sum of digits (49), we get a square (2334169784401 = 15277992).
The spelling of 47636118049 in words is "forty-seven billion, six hundred thirty-six million, one hundred eighteen thousand, forty-nine".
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