Base | Representation |
---|---|
bin | 1110011001100100111… |
… | …0100111000111000001 |
3 | 212122112121102012022201 |
4 | 3212121032213013001 |
5 | 13023120233131004 |
6 | 305351355033201 |
7 | 23605255200061 |
oct | 3463116470701 |
9 | 778477365281 |
10 | 247383880129 |
11 | 95a07829711 |
12 | 3bb4043b801 |
13 | 1a436093979 |
14 | bd8b1b53a1 |
15 | 667d3026a4 |
hex | 39993a71c1 |
247383880129 has 9 divisors (see below), whose sum is σ = 248262867433. Its totient is φ = 246507999232.
The previous prime is 247383880127. The next prime is 247383880141. The reversal of 247383880129 is 921088383742.
It is a happy number.
The square root of 247383880129 is 497377.
It is a perfect power (a square), and thus also a powerful number.
247383880129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 119042250625 + 128341629504 = 345025^2 + 358248^2 .
It is not a de Polignac number, because 247383880129 - 21 = 247383880127 is a prime.
It is a super-2 number, since 2×2473838801292 (a number of 24 digits) contains 22 as substring.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 247383880129.
It is not an unprimeable number, because it can be changed into a prime (247383880127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 175573377 + ... + 175574785.
Almost surely, 2247383880129 is an apocalyptic number.
247383880129 is the 497377-th square number.
247383880129 is the 248689-th centered octagonal number.
It is an amenable number.
247383880129 is a deficient number, since it is larger than the sum of its proper divisors (878987304).
247383880129 is an frugal number, since it uses more digits than its factorization.
247383880129 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3524 (or 1762 counting only the distinct ones).
The product of its (nonzero) digits is 4644864, while the sum is 55.
The spelling of 247383880129 in words is "two hundred forty-seven billion, three hundred eighty-three million, eight hundred eighty thousand, one hundred twenty-nine".
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