Search a number
-
+
261162416331 = 32731530725969
BaseRepresentation
bin1111001100111001111…
…1100011100011001011
3220222002212011100200100
43303032133203203023
513234330034310311
6315550520540443
724603563624415
oct3631637434313
9828085140610
10261162416331
11a0838414913
1242746921723
131b820841a7b
14c8d70bd9b5
156bd7c8ba56
hex3cce7e38cb

261162416331 has 24 divisors (see below), whose sum is σ = 382441907120. Its totient is φ = 171705401856.

The previous prime is 261162416321. The next prime is 261162416369. The reversal of 261162416331 is 133614261162.

261162416331 is a `hidden beast` number, since 2 + 6 + 1 + 16 + 2 + 4 + 1 + 633 + 1 = 666.

It is not a de Polignac number, because 261162416331 - 26 = 261162416267 is a prime.

It is a super-2 number, since 2×2611624163312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261162416321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10043715 + ... + 10069683.

Almost surely, 2261162416331 is an apocalyptic number.

261162416331 is a deficient number, since it is larger than the sum of its proper divisors (121279490789).

261162416331 is a wasteful number, since it uses less digits than its factorization.

261162416331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41355 (or 41352 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 261162416331 its reverse (133614261162), we get a palindrome (394776677493).

The spelling of 261162416331 in words is "two hundred sixty-one billion, one hundred sixty-two million, four hundred sixteen thousand, three hundred thirty-one".

Divisors: 1 3 9 73 219 657 15307 25969 45921 77907 137763 233721 1117411 1895737 3352233 5687211 10056699 17061633 397507483 1192522449 3577567347 29018046259 87054138777 261162416331