Search a number
-
+
213856633665 = 3256017907437
BaseRepresentation
bin1100011100101011011…
…0010100001101000001
3202110000000222121102200
43013022312110031001
512000434244234130
6242124441503413
721310365251613
oct3071266241501
9673000877380
10213856633665
1182772549164
12355441a1b69
13172220126ac
14a4ca518db3
155869bd8760
hex31cad94341

213856633665 has 24 divisors (see below), whose sum is σ = 371301658728. Its totient is φ = 113867078400.

The previous prime is 213856633657. The next prime is 213856633667. The reversal of 213856633665 is 566336658312.

213856633665 is a `hidden beast` number, since 2 + 13 + 8 + 566 + 3 + 3 + 6 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35807235984 + 178049397681 = 189228^2 + 421959^2 .

It is not a de Polignac number, because 213856633665 - 23 = 213856633657 is a prime.

It is a super-2 number, since 2×2138566336652 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213856633667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3926674 + ... + 3980763.

It is an arithmetic number, because the mean of its divisors is an integer number (15470902447).

Almost surely, 2213856633665 is an apocalyptic number.

It is an amenable number.

213856633665 is a deficient number, since it is larger than the sum of its proper divisors (157445025063).

213856633665 is a wasteful number, since it uses less digits than its factorization.

213856633665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908049 (or 7908046 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 213856633665 in words is "two hundred thirteen billion, eight hundred fifty-six million, six hundred thirty-three thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 601 1803 3005 5409 9015 27045 7907437 23722311 39537185 71166933 118611555 355834665 4752369637 14257108911 23761848185 42771326733 71285544555 213856633665