Search a number
-
+
4189760641 = 11234626121
BaseRepresentation
bin1111100110111010…
…1010110010000001
3101210222202220010001
43321232222302001
532040034320031
61531425040001
7205553243413
oct37156526201
911728686101
104189760641
111860013200
1298b186001
1351a032211
142ba62c9b3
15197c5a861
hexf9baac81

4189760641 has 6 divisors (see below), whose sum is σ = 4605274226. Its totient is φ = 3808873200.

The previous prime is 4189760633. The next prime is 4189760671. The reversal of 4189760641 is 1460679814.

It can be written as a sum of positive squares in only one way, i.e., 3985270641 + 204490000 = 63129^2 + 14300^2 .

It is not a de Polignac number, because 4189760641 - 23 = 4189760633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4189760591 and 4189760600.

It is not an unprimeable number, because it can be changed into a prime (4189760671) 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 5 ways as a sum of consecutive naturals, for example, 17312940 + ... + 17313181.

Almost surely, 24189760641 is an apocalyptic number.

It is an amenable number.

4189760641 is a deficient number, since it is larger than the sum of its proper divisors (415513585).

4189760641 is a wasteful number, since it uses less digits than its factorization.

4189760641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34626143 (or 34626132 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 4189760641 is about 64728.3604071662. The cubic root of 4189760641 is about 1612.1164302576.

The spelling of 4189760641 in words is "four billion, one hundred eighty-nine million, seven hundred sixty thousand, six hundred forty-one".

Divisors: 1 11 121 34626121 380887331 4189760641