Base | Representation |
---|---|
bin | 101100000010100011… |
… | …101011001111100001 |
3 | 11112001112212021102001 |
4 | 230002203223033201 |
5 | 1233321102444344 |
6 | 33420144124001 |
7 | 3262554342034 |
oct | 540243531741 |
9 | 145045767361 |
10 | 47287546849 |
11 | 19066650934 |
12 | 91b8606601 |
13 | 45c7b15c6a |
14 | 24083b901b |
15 | 136b69eed4 |
hex | b028eb3e1 |
47287546849 has 3 divisors (see below), whose sum is σ = 47287764307. Its totient is φ = 47287329392.
The previous prime is 47287546829. The next prime is 47287546879. The reversal of 47287546849 is 94864578274.
The square root of 47287546849 is 217457.
It is a perfect power (a square), and thus also a powerful number.
It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.
It can be written as a sum of positive squares in only one way, i.e., 13713581025 + 33573965824 = 117105^2 + 183232^2 .
It is not a de Polignac number, because 47287546849 - 29 = 47287546337 is a prime.
It is a super-2 number, since 2×472875468492 (a number of 22 digits) contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (47287546829) by changing a digit.
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 2 ways as a sum of consecutive naturals, for example, 108729 + ... + 326185.
Almost surely, 247287546849 is an apocalyptic number.
47287546849 is the 217457-th square number.
47287546849 is the 108729-th centered octagonal number.
It is an amenable number.
47287546849 is a deficient number, since it is larger than the sum of its proper divisors (217458).
47287546849 is an frugal number, since it uses more digits than its factorization.
47287546849 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 434914 (or 217457 counting only the distinct ones).
The product of its digits is 108380160, while the sum is 64.
Multiplying 47287546849 by its sum of digits (64), we get a square (3026402998336 = 17396562).
The spelling of 47287546849 in words is "forty-seven billion, two hundred eighty-seven million, five hundred forty-six thousand, eight hundred forty-nine".
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