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29586567089 is a prime number
BaseRepresentation
bin11011100011011111…
…110010111110110001
32211100221100100001002
4123203133302332301
5441043130121324
621331502451345
72065116446042
oct334337627661
984327310032
1029586567089
1111602933842
125898593b55
132a3682c541
1416095888c9
15b826b03ae
hex6e37f2fb1

29586567089 has 2 divisors, whose sum is σ = 29586567090. Its totient is φ = 29586567088.

The previous prime is 29586567061. The next prime is 29586567223. The reversal of 29586567089 is 98076568592.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29563363600 + 23203489 = 171940^2 + 4817^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29586567089 is a prime.

It is a super-2 number, since 2×295865670892 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (29586567589) 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, 14793283544 + 14793283545.

It is an arithmetic number, because the mean of its divisors is an integer number (14793283545).

Almost surely, 229586567089 is an apocalyptic number.

It is an amenable number.

29586567089 is a deficient number, since it is larger than the sum of its proper divisors (1).

29586567089 is an equidigital number, since it uses as much as digits as its factorization.

29586567089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65318400, while the sum is 65.

The spelling of 29586567089 in words is "twenty-nine billion, five hundred eighty-six million, five hundred sixty-seven thousand, eighty-nine".