Base | Representation |
---|---|
bin | 101011111111111011… |
… | …000100010100000000 |
3 | 11111221110200200220000 |
4 | 223333323010110000 |
5 | 1233223244102300 |
6 | 33411524520000 |
7 | 3261506553060 |
oct | 537773042400 |
9 | 144843620800 |
10 | 47243347200 |
11 | 19043701aa5 |
12 | 91a5850000 |
13 | 45bb90ba1a |
14 | 24025913a0 |
15 | 136786dc00 |
hex | affec4500 |
47243347200 has 1080 divisors, whose sum is σ = 204618070272. Its totient is φ = 10530570240.
The previous prime is 47243347051. The next prime is 47243347211. The reversal of 47243347200 is 274334274.
47243347200 is a `hidden beast` number, since 4 + 72 + 43 + 347 + 200 = 666.
47243347200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1080).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170553462 + ... + 170553738.
Almost surely, 247243347200 is an apocalyptic number.
47243347200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47243347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102309035136).
47243347200 is an abundant number, since it is smaller than the sum of its proper divisors (157374723072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47243347200 is a wasteful number, since it uses less digits than its factorization.
47243347200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 369 (or 341 counting only the distinct ones).
The product of its (nonzero) digits is 112896, while the sum is 36.
The spelling of 47243347200 in words is "forty-seven billion, two hundred forty-three million, three hundred forty-seven thousand, two hundred".
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