Search a number
-
+
120735746849 is a prime number
BaseRepresentation
bin111000001110001101…
…0010100101100100001
3102112122021121102102202
41300130122110230201
53434231322344344
6131244254022545
711502641625644
oct1603432245441
9375567542382
10120735746849
11472271aa673
121b4961a7a55
13b501761433
145bb4d47a5b
15321988994e
hex1c1c694b21

120735746849 has 2 divisors, whose sum is σ = 120735746850. Its totient is φ = 120735746848.

The previous prime is 120735746821. The next prime is 120735746861. The reversal of 120735746849 is 948647537021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85928128225 + 34807618624 = 293135^2 + 186568^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120735746849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120735746794 and 120735746803.

It is not a weakly prime, because it can be changed into another prime (120735746749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60367873424 + 60367873425.

It is an arithmetic number, because the mean of its divisors is an integer number (60367873425).

It is a 1-persistent number, because it is pandigital, but 2⋅120735746849 = 241471493698 is not.

Almost surely, 2120735746849 is an apocalyptic number.

It is an amenable number.

120735746849 is a deficient number, since it is larger than the sum of its proper divisors (1).

120735746849 is an equidigital number, since it uses as much as digits as its factorization.

120735746849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 120735746849 in words is "one hundred twenty billion, seven hundred thirty-five million, seven hundred forty-six thousand, eight hundred forty-nine".