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3744445217 is a prime number
BaseRepresentation
bin1101111100101111…
…1011001100100001
3100122221211112012012
43133023323030201
530132034221332
61415320242305
7161535154622
oct33713731441
910587745165
103744445217
111651707127
12886010395
134789b5876
1427742da49
1516dae53b2
hexdf2fb321

3744445217 has 2 divisors, whose sum is σ = 3744445218. Its totient is φ = 3744445216.

The previous prime is 3744445189. The next prime is 3744445219. The reversal of 3744445217 is 7125444473.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3632593441 + 111851776 = 60271^2 + 10576^2 .

It is a cyclic number.

It is not a de Polignac number, because 3744445217 - 214 = 3744428833 is a prime.

It is a super-2 number, since 2×37444452172 = 28041739966228354178, which contains 22 as substring.

Together with 3744445219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3744445219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1872222608 + 1872222609.

It is an arithmetic number, because the mean of its divisors is an integer number (1872222609).

Almost surely, 23744445217 is an apocalyptic number.

It is an amenable number.

3744445217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3744445217 is an equidigital number, since it uses as much as digits as its factorization.

3744445217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 376320, while the sum is 41.

The square root of 3744445217 is about 61191.8721481865. The cubic root of 3744445217 is about 1552.8487626839.

The spelling of 3744445217 in words is "three billion, seven hundred forty-four million, four hundred forty-five thousand, two hundred seventeen".