Search a number
-
+
264332262134646 = 23214685125674147
BaseRepresentation
bin111100000110100010100110…
…100101100101001101110110
31021122220220202211112112221200
4330012202212211211031312
5234121304433101302041
62334104322000353330
7106451242605104436
oct7406424645451566
91248826684475850
10264332262134646
1177251756935612
1225791443915846
13b46556b6a48a4
14493ba6d45a2c6
152085d4e7c71b6
hexf068a6965376

264332262134646 has 12 divisors (see below), whose sum is σ = 572719901291772. Its totient is φ = 88110754044876.

The previous prime is 264332262134597. The next prime is 264332262134657. The reversal of 264332262134646 is 646431262233462.

It is a happy number.

264332262134646 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 3 + 2 + 2 + 621 + 3 + 4 + 6 + 4 + 6 = 666.

264332262134646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264332262134592 and 264332262134601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7342562837056 + ... + 7342562837091.

It is an arithmetic number, because the mean of its divisors is an integer number (47726658440981).

Almost surely, 2264332262134646 is an apocalyptic number.

264332262134646 is an abundant number, since it is smaller than the sum of its proper divisors (308387639157126).

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

264332262134646 is a wasteful number, since it uses less digits than its factorization.

264332262134646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14685125674155 (or 14685125674152 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 54.

The spelling of 264332262134646 in words is "two hundred sixty-four trillion, three hundred thirty-two billion, two hundred sixty-two million, one hundred thirty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 14685125674147 29370251348294 44055377022441 88110754044882 132166131067323 264332262134646