Base | Representation |
---|---|
bin | 101100001000000111… |
… | …110100111111110000 |
3 | 11112022001112121122220 |
4 | 230020013310333300 |
5 | 1234014003110224 |
6 | 33433321201040 |
7 | 3265100043015 |
oct | 541007647760 |
9 | 145261477586 |
10 | 47380910064 |
11 | 1910431a014 |
12 | 9223930180 |
13 | 4611274977 |
14 | 241695d70c |
15 | 1374993279 |
hex | b081f4ff0 |
47380910064 has 160 divisors (see below), whose sum is σ = 130208808960. Its totient is φ = 14815696896.
The previous prime is 47380910063. The next prime is 47380910119. The reversal of 47380910064 is 46001908374.
47380910064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 47380909998 and 47380910025.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47380910063) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12476614 + ... + 12480410.
It is an arithmetic number, because the mean of its divisors is an integer number (813805056).
Almost surely, 247380910064 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 47380910064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65104404480).
47380910064 is an abundant number, since it is smaller than the sum of its proper divisors (82827898896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47380910064 is a wasteful number, since it uses less digits than its factorization.
47380910064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4047 (or 4041 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 42.
The spelling of 47380910064 in words is "forty-seven billion, three hundred eighty million, nine hundred ten thousand, sixty-four".
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