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2641135133 = 721310134093
BaseRepresentation
bin1001110101101100…
…1000011000011101
320211001202120021202
42131123020120131
520402112311013
61114024405245
7122310164300
oct23533103035
96731676252
102641135133
111135940a0a
12618616825
13331246370
141b0aacb37
15106d08858
hex9d6c861d

2641135133 has 24 divisors (see below), whose sum is σ = 3312750168. Its totient is φ = 2087116416.

The previous prime is 2641135127. The next prime is 2641135151. The reversal of 2641135133 is 3315311462.

2641135133 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 4 ways, for example, as 121396324 + 2519738809 = 11018^2 + 50197^2 .

It is not a de Polignac number, because 2641135133 - 210 = 2641134109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2641135096 and 2641135105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641135733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643235 + ... + 647327.

It is an arithmetic number, because the mean of its divisors is an integer number (138031257).

Almost surely, 22641135133 is an apocalyptic number.

It is an amenable number.

2641135133 is a deficient number, since it is larger than the sum of its proper divisors (671615035).

2641135133 is a wasteful number, since it uses less digits than its factorization.

2641135133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5126 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 2641135133 is about 51391.9753755389. The cubic root of 2641135133 is about 1382.2827047256.

Adding to 2641135133 its reverse (3315311462), we get a palindrome (5956446595).

The spelling of 2641135133 in words is "two billion, six hundred forty-one million, one hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 7 13 49 91 637 1013 4093 7091 13169 28651 49637 53209 92183 200557 372463 645281 2607241 4146209 29023463 53900717 203164241 377305019 2641135133