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1067688073 is a prime number
BaseRepresentation
bin111111101000111…
…010000010001001
32202102001011200201
4333220322002021
54141312004243
6253540132201
735313125134
oct7750720211
92672034621
101067688073
114a8755941
12259697061
131402795ba
14a1b2b21b
1563b0204d
hex3fa3a089

1067688073 has 2 divisors, whose sum is σ = 1067688074. Its totient is φ = 1067688072.

The previous prime is 1067688053. The next prime is 1067688079. The reversal of 1067688073 is 3708867601.

1067688073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 951845904 + 115842169 = 30852^2 + 10763^2 .

It is an emirp because it is prime and its reverse (3708867601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1067688073 - 221 = 1065590921 is a prime.

It is a super-3 number, since 3×10676880733 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1067688079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533844036 + 533844037.

It is an arithmetic number, because the mean of its divisors is an integer number (533844037).

Almost surely, 21067688073 is an apocalyptic number.

It is an amenable number.

1067688073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1067688073 is an equidigital number, since it uses as much as digits as its factorization.

1067688073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 1067688073 is about 32675.4965226238. The cubic root of 1067688073 is about 1022.0719363608.

The spelling of 1067688073 in words is "one billion, sixty-seven million, six hundred eighty-eight thousand, seventy-three".