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33848084797 is a prime number
BaseRepresentation
bin11111100001100000…
…001100100100111101
310020100221010212100021
4133201200030210331
51023310102203142
623314413532141
72305533654652
oct374140144475
9106327125307
1033848084797
111339a3a80aa
1266877a4051
133265696c57
1418d1535c29
15d31892267
hex7e180c93d

33848084797 has 2 divisors, whose sum is σ = 33848084798. Its totient is φ = 33848084796.

The previous prime is 33848084779. The next prime is 33848084839. The reversal of 33848084797 is 79748084833.

Together with previous prime (33848084779) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33804867321 + 43217476 = 183861^2 + 6574^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33848084797 is a prime.

It is a super-2 number, since 2×338480847972 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33848084707) 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, 16924042398 + 16924042399.

It is an arithmetic number, because the mean of its divisors is an integer number (16924042399).

Almost surely, 233848084797 is an apocalyptic number.

It is an amenable number.

33848084797 is a deficient number, since it is larger than the sum of its proper divisors (1).

33848084797 is an equidigital number, since it uses as much as digits as its factorization.

33848084797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32514048, while the sum is 61.

The spelling of 33848084797 in words is "thirty-three billion, eight hundred forty-eight million, eighty-four thousand, seven hundred ninety-seven".