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33890019329 is a prime number
BaseRepresentation
bin11111100100000000…
…001010100000000001
310020110212001100201002
4133210000022200001
51023401321104304
623322512421345
72306553261035
oct374400124001
9106425040632
1033890019329
111341103a141
126699847855
13327128a19a
1418d6d301c5
15d353c731e
hex7e400a801

33890019329 has 2 divisors, whose sum is σ = 33890019330. Its totient is φ = 33890019328.

The previous prime is 33890019301. The next prime is 33890019337. The reversal of 33890019329 is 92391009833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32170009600 + 1720009729 = 179360^2 + 41473^2 .

It is an emirp because it is prime and its reverse (92391009833) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33890019329 is a prime.

It is a super-2 number, since 2×338900193292 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33890019029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16945009664 + 16945009665.

It is an arithmetic number, because the mean of its divisors is an integer number (16945009665).

Almost surely, 233890019329 is an apocalyptic number.

It is an amenable number.

33890019329 is a deficient number, since it is larger than the sum of its proper divisors (1).

33890019329 is an equidigital number, since it uses as much as digits as its factorization.

33890019329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 314928, while the sum is 47.

The spelling of 33890019329 in words is "thirty-three billion, eight hundred ninety million, nineteen thousand, three hundred twenty-nine".