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33418296449 is a prime number
BaseRepresentation
bin11111000111111000…
…101011110010000001
310012020222102100120022
4133013320223302001
51021420040441244
623204022023225
72262064555466
oct370770536201
9105228370508
1033418296449
111319983681a
126587877b15
1331c7625b15
14189041966d
15d08c976ee
hex7c7e2bc81

33418296449 has 2 divisors, whose sum is σ = 33418296450. Its totient is φ = 33418296448.

The previous prime is 33418296409. The next prime is 33418296451. The reversal of 33418296449 is 94469281433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30391646224 + 3026650225 = 174332^2 + 55015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33418296449 is a prime.

It is a super-2 number, since 2×334182964492 (a number of 22 digits) contains 22 as substring.

Together with 33418296451, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33418296449.

It is not a weakly prime, because it can be changed into another prime (33418296409) 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, 16709148224 + 16709148225.

It is an arithmetic number, because the mean of its divisors is an integer number (16709148225).

Almost surely, 233418296449 is an apocalyptic number.

It is an amenable number.

33418296449 is a deficient number, since it is larger than the sum of its proper divisors (1).

33418296449 is an equidigital number, since it uses as much as digits as its factorization.

33418296449 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4478976, while the sum is 53.

The spelling of 33418296449 in words is "thirty-three billion, four hundred eighteen million, two hundred ninety-six thousand, four hundred forty-nine".