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30768040817 is a prime number
BaseRepresentation
bin11100101001111010…
…110000101101110001
32221102021111102022022
4130221322300231301
51001003104301232
622045025521225
72136314013623
oct345172605561
987367442268
1030768040817
1112059836508
125b681a3215
132b94538317
1416bc454c13
15c0128b812
hex729eb0b71

30768040817 has 2 divisors, whose sum is σ = 30768040818. Its totient is φ = 30768040816.

The previous prime is 30768040783. The next prime is 30768040837. The reversal of 30768040817 is 71804086703.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26717863936 + 4050176881 = 163456^2 + 63641^2 .

It is a cyclic number.

It is not a de Polignac number, because 30768040817 - 216 = 30767975281 is a prime.

It is not a weakly prime, because it can be changed into another prime (30768040837) 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, 15384020408 + 15384020409.

It is an arithmetic number, because the mean of its divisors is an integer number (15384020409).

Almost surely, 230768040817 is an apocalyptic number.

It is an amenable number.

30768040817 is a deficient number, since it is larger than the sum of its proper divisors (1).

30768040817 is an equidigital number, since it uses as much as digits as its factorization.

30768040817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 30768040817 in words is "thirty billion, seven hundred sixty-eight million, forty thousand, eight hundred seventeen".