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8435648890729 is a prime number
BaseRepresentation
bin111101011000001001111…
…0110110000011101101001
31002212102212212122001112101
41322300103312300131221
52101202202104000404
625535141131413401
71530312146330254
oct172602366603551
932772785561471
108435648890729
1127625a19778a5
12b42a758b4261
1349262aa0c288
142124051c009b
15e966d3682a4
hex7ac13db0769

8435648890729 has 2 divisors, whose sum is σ = 8435648890730. Its totient is φ = 8435648890728.

The previous prime is 8435648890673. The next prime is 8435648890733. The reversal of 8435648890729 is 9270988465348.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6337438700329 + 2098210190400 = 2517427^2 + 1448520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8435648890729 is a prime.

It is not a weakly prime, because it can be changed into another prime (8435648890789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4217824445364 + 4217824445365.

It is an arithmetic number, because the mean of its divisors is an integer number (4217824445365).

Almost surely, 28435648890729 is an apocalyptic number.

It is an amenable number.

8435648890729 is a deficient number, since it is larger than the sum of its proper divisors (1).

8435648890729 is an equidigital number, since it uses as much as digits as its factorization.

8435648890729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 836075520, while the sum is 73.

The spelling of 8435648890729 in words is "eight trillion, four hundred thirty-five billion, six hundred forty-eight million, eight hundred ninety thousand, seven hundred twenty-nine".