Search a number
-
+
29129578169 is a prime number
BaseRepresentation
bin11011001000010000…
…100001011010111001
32210012002102220002112
4123020100201122321
5434124133000134
621214255542105
72050600220606
oct331020413271
983162386075
1029129578169
111139898424a
12578b52a935
132992c566b3
1415a49cb6ad
15b574e11ce
hex6c84216b9

29129578169 has 2 divisors, whose sum is σ = 29129578170. Its totient is φ = 29129578168.

The previous prime is 29129578109. The next prime is 29129578187. The reversal of 29129578169 is 96187592192.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23905179769 + 5224398400 = 154613^2 + 72280^2 .

It is a cyclic number.

It is not a de Polignac number, because 29129578169 - 232 = 24834610873 is a prime.

It is a super-2 number, since 2×291295781692 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (29129578109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14564789084 + 14564789085.

It is an arithmetic number, because the mean of its divisors is an integer number (14564789085).

Almost surely, 229129578169 is an apocalyptic number.

It is an amenable number.

29129578169 is a deficient number, since it is larger than the sum of its proper divisors (1).

29129578169 is an equidigital number, since it uses as much as digits as its factorization.

29129578169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4898880, while the sum is 59.

The spelling of 29129578169 in words is "twenty-nine billion, one hundred twenty-nine million, five hundred seventy-eight thousand, one hundred sixty-nine".