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4146116393 is a prime number
BaseRepresentation
bin1111011100100000…
…1011011100101001
3101200221122112110102
43313020023130221
531442401211033
61523225355145
7204513256616
oct36710133451
911627575412
104146116393
111838413681
12978638ab5
13510c90a13
142b490b50d
15193ed8de8
hexf720b729

4146116393 has 2 divisors, whose sum is σ = 4146116394. Its totient is φ = 4146116392.

The previous prime is 4146116339. The next prime is 4146116441. The reversal of 4146116393 is 3936116414.

Together with previous prime (4146116339) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3475927849 + 670188544 = 58957^2 + 25888^2 .

It is a cyclic number.

It is not a de Polignac number, because 4146116393 - 212 = 4146112297 is a prime.

It is a super-2 number, since 2×41461163932 = 34380562288606660898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4146116323) 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 as a sum of consecutive naturals, namely, 2073058196 + 2073058197.

It is an arithmetic number, because the mean of its divisors is an integer number (2073058197).

Almost surely, 24146116393 is an apocalyptic number.

It is an amenable number.

4146116393 is a deficient number, since it is larger than the sum of its proper divisors (1).

4146116393 is an equidigital number, since it uses as much as digits as its factorization.

4146116393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 38.

The square root of 4146116393 is about 64390.3439422403. The cubic root of 4146116393 is about 1606.4991370222.

The spelling of 4146116393 in words is "four billion, one hundred forty-six million, one hundred sixteen thousand, three hundred ninety-three".