Search a number
-
+
2641135014 = 2327194723473
BaseRepresentation
bin1001110101101100…
…1000010110100110
320211001202120010100
42131123020112212
520402112310024
61114024404530
7122310164040
oct23533102646
96731676110
102641135014
111135940911
12618616746
133312462ab
141b0aaca90
15106d087c9
hex9d6c85a6

2641135014 has 96 divisors (see below), whose sum is σ = 7030932480. Its totient is φ = 699653376.

The previous prime is 2641134929. The next prime is 2641135093. The reversal of 2641135014 is 4105311462.

It is a happy number.

2641135014 is a `hidden beast` number, since 2 + 641 + 1 + 3 + 5 + 0 + 14 = 666.

2641135014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100782 + ... + 124254.

It is an arithmetic number, because the mean of its divisors is an integer number (73238880).

Almost surely, 22641135014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2641135014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515466240).

2641135014 is an abundant number, since it is smaller than the sum of its proper divisors (4389797466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2641135014 is a wasteful number, since it uses less digits than its factorization.

2641135014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23554 (or 23551 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2641135014 is about 51391.9742177706. The cubic root of 2641135014 is about 1382.2826839654.

Adding to 2641135014 its reverse (4105311462), we get a palindrome (6746446476).

It can be divided in two parts, 26411 and 35014, that added together give a triangular number (61425 = T350).

The spelling of 2641135014 in words is "two billion, six hundred forty-one million, one hundred thirty-five thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 47 57 63 94 114 126 133 141 171 266 282 329 342 399 423 658 798 846 893 987 1197 1786 1974 2394 2679 2961 5358 5922 6251 8037 12502 16074 18753 23473 37506 46946 56259 70419 112518 140838 164311 211257 328622 422514 445987 492933 891974 985866 1103231 1337961 1478799 2206462 2675922 2957598 3121909 3309693 4013883 6243818 6619386 7722617 8027766 9365727 9929079 15445234 18731454 19858158 20961389 23167851 28097181 41922778 46335702 56194362 62884167 69503553 125768334 139007106 146729723 188652501 293459446 377305002 440189169 880378338 1320567507 2641135014