Base | Representation |
---|---|
bin | 1110011000010110111… |
… | …0010101000111110110 |
3 | 212121200210200012222210 |
4 | 3212011232111013312 |
5 | 13021433000310432 |
6 | 305255105234250 |
7 | 23564202611406 |
oct | 3460556250766 |
9 | 777623605883 |
10 | 247056650742 |
11 | 9585a047400 |
12 | 3ba6a932986 |
13 | 1a3b3351005 |
14 | bd59954806 |
15 | 665e7158cc |
hex | 3985b951f6 |
247056650742 has 96 divisors (see below), whose sum is σ = 572395824000. Its totient is φ = 70839204480.
The previous prime is 247056650719. The next prime is 247056650777.
247056650742 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×2470566507423 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 247056650691 and 247056650700.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11811009 + ... + 11831907.
It is an arithmetic number, because the mean of its divisors is an integer number (5962456500).
Almost surely, 2247056650742 is an apocalyptic number.
247056650742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 247056650742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286197912000).
247056650742 is an abundant number, since it is smaller than the sum of its proper divisors (325339173258).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
247056650742 is a wasteful number, since it uses less digits than its factorization.
247056650742 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21802 (or 21791 counting only the distinct ones).
The product of its (nonzero) digits is 2822400, while the sum is 48.
It can be divided in two parts, 247056 and 650742, that added together give a palindrome (897798).
The spelling of 247056650742 in words is "two hundred forty-seven billion, fifty-six million, six hundred fifty thousand, seven hundred forty-two".
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