Base | Representation |
---|---|
bin | 101100001100110001… |
… | …111001101010101000 |
3 | 11112111111120102220101 |
4 | 230030301321222220 |
5 | 1234144004014404 |
6 | 33445152035144 |
7 | 3300036152506 |
oct | 541461715250 |
9 | 145444512811 |
10 | 47459048104 |
11 | 19144439306 |
12 | 9245b32ab4 |
13 | 46245026b0 |
14 | 242309d676 |
15 | 137b77a2a4 |
hex | b0cc79aa8 |
47459048104 has 64 divisors (see below), whose sum is σ = 101509284240. Its totient is φ = 20607283200.
The previous prime is 47459048083. The next prime is 47459048137. The reversal of 47459048104 is 40184095474.
It can be written as a sum of positive squares in 8 ways, for example, as 24809400100 + 22649648004 = 157510^2 + 150498^2 .
It is a super-2 number, since 2×474590481042 (a number of 22 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 6539742 + ... + 6546994.
Almost surely, 247459048104 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 47459048104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50754642120).
47459048104 is an abundant number, since it is smaller than the sum of its proper divisors (54050236136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47459048104 is a wasteful number, since it uses less digits than its factorization.
47459048104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10990 (or 10986 counting only the distinct ones).
The product of its (nonzero) digits is 645120, while the sum is 46.
The spelling of 47459048104 in words is "forty-seven billion, four hundred fifty-nine million, forty-eight thousand, one hundred four".
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