Base | Representation |
---|---|
bin | 101100011100001110… |
… | …110000111111000001 |
3 | 11120011120100102120000 |
4 | 230130032300333001 |
5 | 1240211334213321 |
6 | 33531012110213 |
7 | 3306334425222 |
oct | 543416607701 |
9 | 146146312500 |
10 | 47718272961 |
11 | 192677a2827 |
12 | 92b8905369 |
13 | 4666124b98 |
14 | 244969b249 |
15 | 13943d2826 |
hex | b1c3b0fc1 |
47718272961 has 80 divisors (see below), whose sum is σ = 77683945680. Its totient is φ = 29068554240.
The previous prime is 47718272957. The next prime is 47718272963. The reversal of 47718272961 is 16927281774.
47718272961 is a `hidden beast` number, since 477 + 1 + 82 + 7 + 2 + 96 + 1 = 666.
47718272961 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 8 ways, for example, as 8085426561 + 39632846400 = 89919^2 + 199080^2 .
It is not a de Polignac number, because 47718272961 - 22 = 47718272957 is a prime.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 47718272898 and 47718272907.
It is not an unprimeable number, because it can be changed into a prime (47718272963) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36122181 + ... + 36123501.
It is an arithmetic number, because the mean of its divisors is an integer number (971049321).
Almost surely, 247718272961 is an apocalyptic number.
It is an amenable number.
47718272961 is a deficient number, since it is larger than the sum of its proper divisors (29965672719).
47718272961 is a wasteful number, since it uses less digits than its factorization.
47718272961 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2096 (or 2087 counting only the distinct ones).
The product of its digits is 2370816, while the sum is 54.
The spelling of 47718272961 in words is "forty-seven billion, seven hundred eighteen million, two hundred seventy-two thousand, nine hundred sixty-one".
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