Search a number
-
+
29716235238409 is a prime number
BaseRepresentation
bin1101100000110110110011…
…01001010011110000001001
310220012211210112020021222021
412300123121221103300021
512343332322210112114
6143111241111324441
76154633003615246
oct660333151236011
9126184715207867
1029716235238409
119517648100765
1233bb257080721
1313772c903b2b5
1474a3b85325cd
15367ec2acb024
hex1b06d9a53c09

29716235238409 has 2 divisors, whose sum is σ = 29716235238410. Its totient is φ = 29716235238408.

The previous prime is 29716235238359. The next prime is 29716235238413. The reversal of 29716235238409 is 90483253261792.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21714108825600 + 8002126412809 = 4659840^2 + 2828803^2 .

It is a cyclic number.

It is not a de Polignac number, because 29716235238409 - 215 = 29716235205641 is a prime.

It is not a weakly prime, because it can be changed into another prime (29716235238439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14858117619204 + 14858117619205.

It is an arithmetic number, because the mean of its divisors is an integer number (14858117619205).

It is a 2-persistent number, because it is pandigital, and so is 2⋅29716235238409 = 59432470476818, but 3⋅29716235238409 = 89148705715227 is not.

Almost surely, 229716235238409 is an apocalyptic number.

It is an amenable number.

29716235238409 is a deficient number, since it is larger than the sum of its proper divisors (1).

29716235238409 is an equidigital number, since it uses as much as digits as its factorization.

29716235238409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 29716235238409 in words is "twenty-nine trillion, seven hundred sixteen billion, two hundred thirty-five million, two hundred thirty-eight thousand, four hundred nine".