Base | Representation |
---|---|
bin | 101011111111111110… |
… | …110000010000000000 |
3 | 11111221112111210112121 |
4 | 223333332300100000 |
5 | 1233224021013400 |
6 | 33412001334024 |
7 | 3261521016421 |
oct | 537776602000 |
9 | 144845453477 |
10 | 47244313600 |
11 | 19044202080 |
12 | 91a6037314 |
13 | 45bbb89863 |
14 | 2402763648 |
15 | 13679b021a |
hex | afffb0400 |
47244313600 has 132 divisors (see below), whose sum is σ = 127755693648. Its totient is φ = 17179648000.
The previous prime is 47244313583. The next prime is 47244313609. The reversal of 47244313600 is 631344274.
47244313600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (47244313609) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197715 + ... + 365485.
It is an arithmetic number, because the mean of its divisors is an integer number (967846164).
Almost surely, 247244313600 is an apocalyptic number.
47244313600 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 47244313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63877846824).
47244313600 is an abundant number, since it is smaller than the sum of its proper divisors (80511380048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47244313600 is a wasteful number, since it uses less digits than its factorization.
47244313600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 167812 (or 167789 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 34.
Adding to 47244313600 its reverse (631344274), we get a palindrome (47875657874).
The spelling of 47244313600 in words is "forty-seven billion, two hundred forty-four million, three hundred thirteen thousand, six hundred".
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