Base | Representation |
---|---|
bin | 1110011000001111010… |
… | …0100101011100111000 |
3 | 212121121120121210021101 |
4 | 3212003310211130320 |
5 | 13021401313023211 |
6 | 305252005221144 |
7 | 23563334416600 |
oct | 3460364453470 |
9 | 777546553241 |
10 | 247024736056 |
11 | 9584302942a |
12 | 3ba601017b4 |
13 | 1a3a9858697 |
14 | bd55607c00 |
15 | 665ba0e5c1 |
hex | 3983d25738 |
247024736056 has 96 divisors (see below), whose sum is σ = 550560628800. Its totient is φ = 103557672960.
The previous prime is 247024736039. The next prime is 247024736069. The reversal of 247024736056 is 650637420742.
247024736056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2470247360563 (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 = 247024735997 and 247024736015.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 56025180 + ... + 56029588.
It is an arithmetic number, because the mean of its divisors is an integer number (5735006550).
Almost surely, 2247024736056 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 247024736056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275280314400).
247024736056 is an abundant number, since it is smaller than the sum of its proper divisors (303535892744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
247024736056 is a wasteful number, since it uses less digits than its factorization.
247024736056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7517 (or 7506 counting only the distinct ones).
The product of its (nonzero) digits is 1693440, while the sum is 46.
The spelling of 247024736056 in words is "two hundred forty-seven billion, twenty-four million, seven hundred thirty-six thousand, fifty-six".
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