Search a number
-
+
12326994729 = 32721723112
BaseRepresentation
bin10110111101011111…
…10000001100101001
31011211002102012210100
423132233300030221
5200221202312404
65355110140013
7614321504100
oct133657601451
934732365710
1012326994729
1152562a3655
122480351609
131215b2472a
1484d21b037
154c2312d39
hex2debf0329

12326994729 has 81 divisors (see below), whose sum is σ = 22073746071. Its totient is φ = 6608327040.

The previous prime is 12326994709. The next prime is 12326994733. The reversal of 12326994729 is 92749962321.

The square root of 12326994729 is 111027.

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., 9597141225 + 2729853504 = 97965^2 + 52248^2 .

It is not a de Polignac number, because 12326994729 - 215 = 12326961961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12326994709) 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 80 ways as a sum of consecutive naturals, for example, 39636484 + ... + 39636794.

Almost surely, 212326994729 is an apocalyptic number.

12326994729 is the 111027-th square number.

12326994729 is the 55514-th centered octagonal number.

It is an amenable number.

12326994729 is a deficient number, since it is larger than the sum of its proper divisors (9746751342).

12326994729 is an equidigital number, since it uses as much as digits as its factorization.

12326994729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 12326994729 in words is "twelve billion, three hundred twenty-six million, nine hundred ninety-four thousand, seven hundred twenty-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 311 357 441 833 867 933 1071 2023 2177 2499 2601 2799 5287 6069 6531 7497 14161 15239 15861 18207 19593 37009 42483 45717 47583 89879 96721 111027 127449 137151 259063 269637 290163 333081 629153 677047 777189 808911 870489 1644257 1887459 2031141 2331567 4404071 4739329 4932771 5662377 6093423 11509799 13212213 14217987 14798313 27952369 34529397 39636639 42653961 80568593 83857107 103588191 195666583 241705779 251571321 586999749 725117337 1369666081 1760999247 4108998243 12326994729