Base | Representation |
---|---|
bin | 11101001011010011011… |
… | …001011100001110000000 |
3 | 21002200020222220101201200 |
4 | 131023103121130032000 |
5 | 230322220330443241 |
6 | 4133030202501200 |
7 | 264566542613310 |
oct | 35132331341600 |
9 | 7080228811650 |
10 | 2005001421696 |
11 | 703353039a49 |
12 | 2846bab04800 |
13 | 1170bc7a00b0 |
14 | 6d084c01440 |
15 | 3724c1154b6 |
hex | 1d2d365c380 |
2005001421696 has 768 divisors, whose sum is σ = 7455064780800. Its totient is φ = 503012229120.
The previous prime is 2005001421641. The next prime is 2005001421707. The reversal of 2005001421696 is 6961241005002.
2005001421696 is a `hidden beast` number, since 2 + 0 + 0 + 500 + 142 + 1 + 6 + 9 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2005001421696.
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 191732500 + ... + 191742956.
It is an arithmetic number, because the mean of its divisors is an integer number (9707115600).
Almost surely, 22005001421696 is an apocalyptic number.
2005001421696 is a gapful number since it is divisible by the number (26) 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 2005001421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727532390400).
2005001421696 is an abundant number, since it is smaller than the sum of its proper divisors (5450063359104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2005001421696 is a wasteful number, since it uses less digits than its factorization.
2005001421696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10587 (or 10572 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
Adding to 2005001421696 its reverse (6961241005002), we get a palindrome (8966242426698).
The spelling of 2005001421696 in words is "two trillion, five billion, one million, four hundred twenty-one thousand, six hundred ninety-six".
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