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8127664009 is a prime number
BaseRepresentation
bin1111001000111001…
…00100111110001001
3202222102122002222221
413210130210332021
5113121140222014
63422300014041
7405261001303
oct74434447611
922872562887
108127664009
1134a09442a3
1216a9b31321
139c6b2155a
1457161a973
15328816b24
hex1e4724f89

8127664009 has 2 divisors, whose sum is σ = 8127664010. Its totient is φ = 8127664008.

The previous prime is 8127663989. The next prime is 8127664037. The reversal of 8127664009 is 9004667218.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7628275600 + 499388409 = 87340^2 + 22347^2 .

It is a cyclic number.

It is not a de Polignac number, because 8127664009 - 225 = 8094109577 is a prime.

It is not a weakly prime, because it can be changed into another prime (8127662009) 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, 4063832004 + 4063832005.

It is an arithmetic number, because the mean of its divisors is an integer number (4063832005).

Almost surely, 28127664009 is an apocalyptic number.

It is an amenable number.

8127664009 is a deficient number, since it is larger than the sum of its proper divisors (1).

8127664009 is an equidigital number, since it uses as much as digits as its factorization.

8127664009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 8127664009 is about 90153.5579386637. The cubic root of 8127664009 is about 2010.5825732260.

The spelling of 8127664009 in words is "eight billion, one hundred twenty-seven million, six hundred sixty-four thousand, nine".