Base | Representation |
---|---|
bin | 1011110000011101101001111… |
… | …1010000111011011110010000 |
3 | 11000111101010212222110221212111 |
4 | 2330013122133100323132100 |
5 | 1331420133332343244403 |
6 | 12051335434144035104 |
7 | 336160334351145112 |
oct | 27407323720733620 |
9 | 4014333788427774 |
10 | 827342222243728 |
11 | 21a686958764574 |
12 | 78960570302a94 |
13 | 29685062aa8109 |
14 | 10843811c433b2 |
15 | 659b10aaea56d |
hex | 2f0769f43b790 |
827342222243728 has 160 divisors (see below), whose sum is σ = 1716832953158400. Its totient is φ = 385112309760000.
The previous prime is 827342222243723. The next prime is 827342222243753.
827342222243728 is nontrivially palindromic in base 10.
It is not an unprimeable number, because it can be changed into a prime (827342222243723) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5345581128 + ... + 5345735896.
It is an arithmetic number, because the mean of its divisors is an integer number (10730205957240).
Almost surely, 2827342222243728 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 827342222243728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858416476579200).
827342222243728 is an abundant number, since it is smaller than the sum of its proper divisors (889490730914672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
827342222243728 is a wasteful number, since it uses less digits than its factorization.
827342222243728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 156201 (or 156195 counting only the distinct ones).
The product of its digits is 57802752, while the sum is 58.
The spelling of 827342222243728 in words is "eight hundred twenty-seven trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred forty-three thousand, seven hundred twenty-eight".
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