| Base | Representation |
|---|---|
| bin | 1011111010111100… |
| … | …11001000001010100 |
| 3 | 121112000220001121221 |
| 4 | 11331132121001110 |
| 5 | 101101410223400 |
| 6 | 2535024020124 |
| 7 | 314412556102 |
| oct | 57536310124 |
| 9 | 17460801557 |
| 10 | 6400086100 |
| 11 | 2794755461 |
| 12 | 12a7461644 |
| 13 | 7acc3a5c5 |
| 14 | 449dd6c72 |
| 15 | 276d16c1a |
| hex | 17d799054 |
6400086100 has 72 divisors (see below), whose sum is σ = 14288569848. Its totient is φ = 2486476800.
The previous prime is 6400086097. The next prime is 6400086107. The reversal of 6400086100 is 16800046.
It can be written as a sum of positive squares in 12 ways, for example, as 1210900804 + 5189185296 = 34798^2 + 72036^2 .
It is a super-2 number, since 2×64000861002 = 81922204174826420000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6400086107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2814564 + ... + 2816836.
It is an arithmetic number, because the mean of its divisors is an integer number (198452359).
Almost surely, 26400086100 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 6400086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144284924).
6400086100 is an abundant number, since it is smaller than the sum of its proper divisors (7888483748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6400086100 is a wasteful number, since it uses less digits than its factorization.
6400086100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3085 (or 3078 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 25.
The square root of 6400086100 is about 80000.5381231901. The cubic root of 6400086100 is about 1856.6438592577.
Adding to 6400086100 its reverse (16800046), we get a palindrome (6416886146).
The spelling of 6400086100 in words is "six billion, four hundred million, eighty-six thousand, one hundred".
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