Base | Representation |
---|---|
bin | 101100000011100001… |
… | …011001111101100000 |
3 | 11112002200022102010200 |
4 | 230003201121331200 |
5 | 1233334223311432 |
6 | 33421523025200 |
7 | 3263142030222 |
oct | 540341317540 |
9 | 145080272120 |
10 | 47303728992 |
11 | 190747a3803 |
12 | 9201b0b200 |
13 | 45cb2906b0 |
14 | 240a5cc412 |
15 | 136cce9a7c |
hex | b03859f60 |
47303728992 has 144 divisors (see below), whose sum is σ = 145111035888. Its totient is φ = 14530544640.
The previous prime is 47303728963. The next prime is 47303728999. The reversal of 47303728992 is 29982730374.
47303728992 is a `hidden beast` number, since 473 + 0 + 3 + 7 + 2 + 89 + 92 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47303728999) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2284767 + ... + 2305377.
It is an arithmetic number, because the mean of its divisors is an integer number (1007715527).
Almost surely, 247303728992 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 47303728992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72555517944).
47303728992 is an abundant number, since it is smaller than the sum of its proper divisors (97807306896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47303728992 is a wasteful number, since it uses less digits than its factorization.
47303728992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21253 (or 21242 counting only the distinct ones).
The product of its (nonzero) digits is 4572288, while the sum is 54.
The spelling of 47303728992 in words is "forty-seven billion, three hundred three million, seven hundred twenty-eight thousand, nine hundred ninety-two".
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