Base | Representation |
---|---|
bin | 10010010001100011… |
… | …11101010001101101 |
3 | 221022202002221102000 |
4 | 21020301331101231 |
5 | 130043103141224 |
6 | 4301311322513 |
7 | 465061016640 |
oct | 111061752155 |
9 | 27282087360 |
10 | 9810990189 |
11 | 4185059160 |
12 | 1a99820439 |
13 | c047b0650 |
14 | 691001a57 |
15 | 3c64c50c9 |
hex | 248c7d46d |
9810990189 has 128 divisors (see below), whose sum is σ = 20044738560. Its totient is φ = 4576953600.
The previous prime is 9810990107. The next prime is 9810990221.
9810990189 is nontrivially palindromic in base 10.
9810990189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 9810990189 - 28 = 9810989933 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9810998189) 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 127 ways as a sum of consecutive naturals, for example, 995094 + ... + 1004904.
It is an arithmetic number, because the mean of its divisors is an integer number (156599520).
Almost surely, 29810990189 is an apocalyptic number.
9810990189 is a gapful number since it is divisible by the number (99) formed by its first and last digit.
It is an amenable number.
9810990189 is an abundant number, since it is smaller than the sum of its proper divisors (10233748371).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9810990189 is a wasteful number, since it uses less digits than its factorization.
9810990189 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9888 (or 9882 counting only the distinct ones).
The product of its (nonzero) digits is 419904, while the sum is 54.
The square root of 9810990189 is about 99050.4426491876. The cubic root of 9810990189 is about 2140.7746190579.
It can be divided in two parts, 9810 and 990189, that added together give a palindrome (999999).
The spelling of 9810990189 in words is "nine billion, eight hundred ten million, nine hundred ninety thousand, one hundred eighty-nine".
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