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29972866169 is a prime number
BaseRepresentation
bin11011111010100001…
…011010010001111001
32212100212020100202102
4123322201122101321
5442341023204134
621434102313145
72110520105321
oct337241322171
985325210672
1029972866169
11117909a0a84
125985a287b5
132a9888488c
1416449c4281
15ba656937e
hex6fa85a479

29972866169 has 2 divisors, whose sum is σ = 29972866170. Its totient is φ = 29972866168.

The previous prime is 29972866163. The next prime is 29972866201. The reversal of 29972866169 is 96166827992.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21762150400 + 8210715769 = 147520^2 + 90613^2 .

It is a cyclic number.

It is not a de Polignac number, because 29972866169 - 216 = 29972800633 is a prime.

It is a super-2 number, since 2×299728661692 (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 (29972866163) 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, 14986433084 + 14986433085.

It is an arithmetic number, because the mean of its divisors is an integer number (14986433085).

Almost surely, 229972866169 is an apocalyptic number.

It is an amenable number.

29972866169 is a deficient number, since it is larger than the sum of its proper divisors (1).

29972866169 is an equidigital number, since it uses as much as digits as its factorization.

29972866169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35271936, while the sum is 65.

The spelling of 29972866169 in words is "twenty-nine billion, nine hundred seventy-two million, eight hundred sixty-six thousand, one hundred sixty-nine".