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29313786289 is a prime number
BaseRepresentation
bin11011010011001111…
…001110000110110001
32210122221001122010111
4123103033032012301
5440013312130124
621244440101321
72055265033534
oct332317160661
983587048114
1029313786289
1111482960567
125821164841
1329c2171a98
1415c125ca1b
15b6877b494
hex6d33ce1b1

29313786289 has 2 divisors, whose sum is σ = 29313786290. Its totient is φ = 29313786288.

The previous prime is 29313786247. The next prime is 29313786319. The reversal of 29313786289 is 98268731392.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29041272225 + 272514064 = 170415^2 + 16508^2 .

It is a cyclic number.

It is not a de Polignac number, because 29313786289 - 29 = 29313785777 is a prime.

It is not a weakly prime, because it can be changed into another prime (29313726289) 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, 14656893144 + 14656893145.

It is an arithmetic number, because the mean of its divisors is an integer number (14656893145).

Almost surely, 229313786289 is an apocalyptic number.

It is an amenable number.

29313786289 is a deficient number, since it is larger than the sum of its proper divisors (1).

29313786289 is an equidigital number, since it uses as much as digits as its factorization.

29313786289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7838208, while the sum is 58.

The spelling of 29313786289 in words is "twenty-nine billion, three hundred thirteen million, seven hundred eighty-six thousand, two hundred eighty-nine".