Base | Representation |
---|---|
bin | 101011111000010001… |
… | …111000001000000000 |
3 | 11111121112101111222000 |
4 | 223320101320020000 |
5 | 1232442431440424 |
6 | 33351104144000 |
7 | 3255361550265 |
oct | 537021701000 |
9 | 144545344860 |
10 | 47115108864 |
11 | 18a882836aa |
12 | 916a908000 |
13 | 459b18c055 |
14 | 23cd52d26c |
15 | 135b48c3c9 |
hex | af8478200 |
47115108864 has 160 divisors (see below), whose sum is σ = 147668495040. Its totient is φ = 14781136896.
The previous prime is 47115108809. The next prime is 47115108869. The reversal of 47115108864 is 46880151174.
47115108864 is a `hidden beast` number, since 4 + 71 + 1 + 510 + 8 + 8 + 64 = 666.
It is not an unprimeable number, because it can be changed into a prime (47115108869) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134767 + ... + 335249.
It is an arithmetic number, because the mean of its divisors is an integer number (922928094).
Almost surely, 247115108864 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47115108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73834247520).
47115108864 is an abundant number, since it is smaller than the sum of its proper divisors (100553386176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47115108864 is a wasteful number, since it uses less digits than its factorization.
47115108864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200527 (or 200505 counting only the distinct ones).
The product of its (nonzero) digits is 215040, while the sum is 45.
The spelling of 47115108864 in words is "forty-seven billion, one hundred fifteen million, one hundred eight thousand, eight hundred sixty-four".
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