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30768039769 is a prime number
BaseRepresentation
bin11100101001111010…
…110000011101011001
32221102021111100212111
4130221322300131121
51001003104233034
622045025512321
72136314010565
oct345172603531
987367440774
1030768039769
1112059835745
125b681a26a1
132b945379bc
1416bc4546a5
15c0128b364
hex729eb0759

30768039769 has 2 divisors, whose sum is σ = 30768039770. Its totient is φ = 30768039768.

The previous prime is 30768039767. The next prime is 30768039773. The reversal of 30768039769 is 96793086703.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30314988544 + 453051225 = 174112^2 + 21285^2 .

It is a cyclic number.

It is not a de Polignac number, because 30768039769 - 21 = 30768039767 is a prime.

It is a super-2 number, since 2×307680397692 (a number of 22 digits) contains 22 as substring.

Together with 30768039767, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (30768039761) 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, 15384019884 + 15384019885.

It is an arithmetic number, because the mean of its divisors is an integer number (15384019885).

Almost surely, 230768039769 is an apocalyptic number.

It is an amenable number.

30768039769 is a deficient number, since it is larger than the sum of its proper divisors (1).

30768039769 is an equidigital number, since it uses as much as digits as its factorization.

30768039769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10287648, while the sum is 58.

The spelling of 30768039769 in words is "thirty billion, seven hundred sixty-eight million, thirty-nine thousand, seven hundred sixty-nine".