Search a number
-
+
4641833161 = 7297332
BaseRepresentation
bin1000101001010110…
…01100000011001001
3102222111102120000201
410110223030003021
534001302130121
62044334332201
7223012634200
oct42453140311
912874376021
104641833161
111a72214a59
12a9665a061
1358c8a6354
143206aa237
151c27a7e91
hex114acc0c9

4641833161 has 9 divisors (see below), whose sum is σ = 5400238311. Its totient is φ = 3978305352.

The previous prime is 4641833117. The next prime is 4641833179. The reversal of 4641833161 is 1613381464.

The square root of 4641833161 is 68131.

It is a perfect power (a square), and thus also a powerful number.

4641833161 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4044324025 + 597509136 = 63595^2 + 24444^2 .

It is not a de Polignac number, because 4641833161 - 213 = 4641824969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4641833161.

It is not an unprimeable number, because it can be changed into a prime (4641833111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 472051 + ... + 481783.

It is an arithmetic number, because the mean of its divisors is an integer number (600026479).

Almost surely, 24641833161 is an apocalyptic number.

4641833161 is the 68131-st square number.

4641833161 is the 34066-th centered octagonal number.

It is an amenable number.

4641833161 is a deficient number, since it is larger than the sum of its proper divisors (758405150).

4641833161 is an frugal number, since it uses more digits than its factorization.

4641833161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19480 (or 9740 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The cubic root of 4641833161 is about 1668.1298055899.

The spelling of 4641833161 in words is "four billion, six hundred forty-one million, eight hundred thirty-three thousand, one hundred sixty-one".

Divisors: 1 7 49 9733 68131 476917 94731289 663119023 4641833161