Base | Representation |
---|---|
bin | 11000000000000000000… |
… | …00000000000000000000 |
3 | 2220211112010211102020110 |
4 | 30000000000000000000 |
5 | 102002322213031312 |
6 | 1430455334311320 |
7 | 113402122655055 |
oct | 14000000000000 |
9 | 2824463742213 |
10 | 824633720832 |
11 | 2987a8267869 |
12 | 1139a01b8540 |
13 | 5c9bb64a04c |
14 | 2bcabc0502c |
15 | 166b5c6243c |
hex | c000000000 |
824633720832 has 78 divisors (see below), whose sum is σ = 2199023255548. Its totient is φ = 274877906944.
The previous prime is 824633720831. The next prime is 824633720837. The reversal of 824633720832 is 238027336428.
It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)35.
It is an ABA number since it can be written as A⋅BA, here for A=12, B=8.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a nialpdrome in base 2, base 4 and base 16.
It is a zygodrome in base 2.
It is not an unprimeable number, because it can be changed into a prime (824633720831) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
In principle, a polygon with 824633720832 sides can be constructed with ruler and compass.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 274877906943 + 274877906944 + 274877906945.
Almost surely, 2824633720832 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 824633720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099511627774).
824633720832 is an abundant number, since it is smaller than the sum of its proper divisors (1374389534716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
824633720832 is an frugal number, since it uses more digits than its factorization.
824633720832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 2322432, while the sum is 48.
Multiplying 824633720832 by its sum of digits (48), we get a square (39582418599936 = 62914562).
824633720832 divided by its sum of digits (48) gives a 34-th power (17179869184 = 234).
The spelling of 824633720832 in words is "eight hundred twenty-four billion, six hundred thirty-three million, seven hundred twenty thousand, eight hundred thirty-two".
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