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29851891729 = 11211321392
BaseRepresentation
bin11011110011010011…
…111011100000010001
32212001102121020000121
4123303103323200101
5442114041013404
621414101350241
72104520615212
oct336323734021
985042536017
1029851891729
1111729684100
125951408381
132a797a927a
1416328d3409
15b9ab1ee54
hex6f34fb811

29851891729 has 27 divisors (see below), whose sum is σ = 33345236379. Its totient is φ = 26704413120.

The previous prime is 29851891723. The next prime is 29851891739. The reversal of 29851891729 is 92719815892.

The square root of 29851891729 is 172777.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 526014225 + 29325877504 = 22935^2 + 171248^2 .

It is not a de Polignac number, because 29851891729 - 223 = 29843503121 is a prime.

It is a super-2 number, since 2×298518917292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29851891723) 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 in 26 ways as a sum of consecutive naturals, for example, 214761742 + ... + 214761880.

Almost surely, 229851891729 is an apocalyptic number.

29851891729 is the 172777-th square number.

29851891729 is the 86389-th centered octagonal number.

It is an amenable number.

29851891729 is a deficient number, since it is larger than the sum of its proper divisors (3493344650).

29851891729 is an equidigital number, since it uses as much as digits as its factorization.

29851891729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 61.

The spelling of 29851891729 in words is "twenty-nine billion, eight hundred fifty-one million, eight hundred ninety-one thousand, seven hundred twenty-nine".

Divisors: 1 11 113 121 139 1243 1529 12769 13673 15707 16819 19321 140459 172777 212531 1545049 1774891 1900547 2183273 2337841 19523801 24016003 214761811 246709849 264176033 2713808339 29851891729