Search a number
-
+
10535422482 = 23213218612
BaseRepresentation
bin10011100111111010…
…11100101000010010
31000012020020220200200
421303331130220102
5133034032004412
64501230400030
7522035420304
oct116375345022
930166226620
1010535422482
114516a75932
122060360016
13cbb8c5700
1471d2d9974
15419dc19dc
hex273f5ca12

10535422482 has 54 divisors (see below), whose sum is σ = 24731011071. Its totient is φ = 3239926560.

The previous prime is 10535422477. The next prime is 10535422507. The reversal of 10535422482 is 28422453501.

10535422482 is a `hidden beast` number, since 1 + 0 + 5 + 354 + 224 + 82 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1292330601 + 9243091881 = 35949^2 + 96141^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=72579.

It is a super-2 number, since 2×105354224822 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5660232 + ... + 5662092.

Almost surely, 210535422482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10535422482

10535422482 is an abundant number, since it is smaller than the sum of its proper divisors (14195588589).

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

10535422482 is an equidigital number, since it uses as much as digits as its factorization.

10535422482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10535422482 its reverse (28422453501), we get a palindrome (38957875983).

The spelling of 10535422482 in words is "ten billion, five hundred thirty-five million, four hundred twenty-two thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 1861 3042 3722 5583 11166 16749 24193 33498 48386 72579 145158 217737 314509 435474 629018 943527 1887054 2830581 3463321 5661162 6926642 10389963 20779926 31169889 45023173 62339778 90046346 135069519 270139038 405208557 585301249 810417114 1170602498 1755903747 3511807494 5267711241 10535422482