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993936337 is a prime number
BaseRepresentation
bin111011001111100…
…100001111010001
32120021021012022221
4323033210033101
54013421430322
6242343301041
733426214402
oct7317441721
92507235287
10993936337
11470062099
12238a4a781
1312abc6214
149600d9a9
155c3d49c7
hex3b3e43d1

993936337 has 2 divisors, whose sum is σ = 993936338. Its totient is φ = 993936336.

The previous prime is 993936323. The next prime is 993936397. The reversal of 993936337 is 733639399.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 640646721 + 353289616 = 25311^2 + 18796^2 .

It is an emirp because it is prime and its reverse (733639399) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-993936337 is a prime.

It is not a weakly prime, because it can be changed into another prime (993936397) 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, 496968168 + 496968169.

It is an arithmetic number, because the mean of its divisors is an integer number (496968169).

Almost surely, 2993936337 is an apocalyptic number.

It is an amenable number.

993936337 is a deficient number, since it is larger than the sum of its proper divisors (1).

993936337 is an equidigital number, since it uses as much as digits as its factorization.

993936337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2480058, while the sum is 52.

The square root of 993936337 is about 31526.7558908303. The cubic root of 993936337 is about 997.9746798475.

The spelling of 993936337 in words is "nine hundred ninety-three million, nine hundred thirty-six thousand, three hundred thirty-seven".