| Base | Representation |
|---|---|
| bin | 1100001011000111111… |
| … | …1011111010010000000 |
| 3 | 201222211122112120011111 |
| 4 | 3002301333133102000 |
| 5 | 11411312012000030 |
| 6 | 240025115253104 |
| 7 | 21052541053615 |
| oct | 3026177372200 |
| 9 | 658748476144 |
| 10 | 209144640640 |
| 11 | 80774774051 |
| 12 | 3464a14a194 |
| 13 | 16950a42b40 |
| 14 | a1a07c850c |
| 15 | 56911c262a |
| hex | 30b1fdf480 |
209144640640 has 256 divisors, whose sum is σ = 589791132000. Its totient is φ = 70172540928.
The previous prime is 209144640629. The next prime is 209144640647. The reversal of 209144640640 is 46046441902.
209144640640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 16 ways, for example, as 18580961344 + 190563679296 = 136312^2 + 436536^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 209144640593 and 209144640602.
It is not an unprimeable number, because it can be changed into a prime (209144640647) 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 31 ways as a sum of consecutive naturals, for example, 4076266 + ... + 4127254.
Almost surely, 2209144640640 is an apocalyptic number.
209144640640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 209144640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294895566000).
209144640640 is an abundant number, since it is smaller than the sum of its proper divisors (380646491360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
209144640640 is a wasteful number, since it uses less digits than its factorization.
209144640640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51067 (or 51055 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 40.
The spelling of 209144640640 in words is "two hundred nine billion, one hundred forty-four million, six hundred forty thousand, six hundred forty".
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