Base | Representation |
---|---|
bin | 100000011101001000011001… |
… | …0001010100111100000010110 |
3 | 1101102210111111101112222121010 |
4 | 1000322100302022213200112 |
5 | 244404240413313441312 |
6 | 2451055041142233050 |
7 | 114063105002126424 |
oct | 10072206212474026 |
9 | 1342714441488533 |
10 | 285478727874582 |
11 | 82a64937519800 |
12 | 28027834425786 |
13 | c33a6b422cc58 |
14 | 506d35bd56114 |
15 | 2300e5457a93c |
hex | 103a4322a7816 |
285478727874582 has 96 divisors (see below), whose sum is σ = 628586685780480. Its totient is φ = 86370153408000.
The previous prime is 285478727874581. The next prime is 285478727874619.
285478727874582 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 285478727874495 and 285478727874504.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (285478727874581) 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 47 ways as a sum of consecutive naturals, for example, 4959729519 + ... + 4959787077.
It is an arithmetic number, because the mean of its divisors is an integer number (6547777976880).
Almost surely, 2285478727874582 is an apocalyptic number.
285478727874582 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 285478727874582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314293342890240).
285478727874582 is an abundant number, since it is smaller than the sum of its proper divisors (343107957905898).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
285478727874582 is a wasteful number, since it uses less digits than its factorization.
285478727874582 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68410 (or 68399 counting only the distinct ones).
The product of its digits is 31470387200, while the sum is 84.
The spelling of 285478727874582 in words is "two hundred eighty-five trillion, four hundred seventy-eight billion, seven hundred twenty-seven million, eight hundred seventy-four thousand, five hundred eighty-two".
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