Base | Representation |
---|---|
bin | 101011110011010010… |
… | …001001111011001001 |
3 | 11111101200200100220100 |
4 | 223303102021323021 |
5 | 1232310002430224 |
6 | 33334511520013 |
7 | 3253323263100 |
oct | 536322117311 |
9 | 144350610810 |
10 | 47031295689 |
11 | 18a44a38614 |
12 | 9146829009 |
13 | 45869c5161 |
14 | 23c2353037 |
15 | 1353e33ac9 |
hex | af3489ec9 |
47031295689 has 81 divisors (see below), whose sum is σ = 82795044423. Its totient is φ = 25649293824.
The previous prime is 47031295681. The next prime is 47031295733. The reversal of 47031295689 is 98659213074.
The square root of 47031295689 is 216867.
It is a perfect power (a square), and thus also a powerful number.
47031295689 is a `hidden beast` number, since 4 + 70 + 3 + 1 + 2 + 9 + 568 + 9 = 666.
It can be written as a sum of positive squares in only one way, i.e., 28741438089 + 18289857600 = 169533^2 + 135240^2 .
It is not a de Polignac number, because 47031295689 - 23 = 47031295681 is a prime.
It is a super-2 number, since 2×470312956892 (a number of 22 digits) contains 22 as substring.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (47031295681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 104746537 + ... + 104746985.
It is a 2-persistent number, because it is pandigital, and so is 2⋅47031295689 = 94062591378, but 3⋅47031295689 = 141093887067 is not.
Almost surely, 247031295689 is an apocalyptic number.
47031295689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.
47031295689 is the 216867-th square number.
47031295689 is the 108434-th centered octagonal number.
It is an amenable number.
47031295689 is a deficient number, since it is larger than the sum of its proper divisors (35763748734).
47031295689 is an equidigital number, since it uses as much as digits as its factorization.
47031295689 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 964 (or 482 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The spelling of 47031295689 in words is "forty-seven billion, thirty-one million, two hundred ninety-five thousand, six hundred eighty-nine".
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