Search a number
-
+
12382570729 = 22324992
BaseRepresentation
bin10111000100000111…
…10000100011101001
31011221221222202201201
423202003300203221
5200324414230404
65404413244201
7615565054204
oct134203604351
934857882651
1012382570729
115284702731
122496a93661
1312244b2b39
1485676693b
154c713eca4
hex2e20f08e9

12382570729 has 9 divisors (see below), whose sum is σ = 12463323453. Its totient is φ = 12302340012.

The previous prime is 12382570727. The next prime is 12382570741. The reversal of 12382570729 is 92707528321.

The square root of 12382570729 is 111277.

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

It is not a de Polignac number, because 12382570729 - 21 = 12382570727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12382570727) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24814522 + ... + 24815020.

It is an arithmetic number, because the mean of its divisors is an integer number (1384813717).

Almost surely, 212382570729 is an apocalyptic number.

12382570729 is the 111277-th square number.

12382570729 is the 55639-th centered octagonal number.

It is an amenable number.

12382570729 is a deficient number, since it is larger than the sum of its proper divisors (80752724).

12382570729 is an frugal number, since it uses more digits than its factorization.

12382570729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 12382570729 in words is "twelve billion, three hundred eighty-two million, five hundred seventy thousand, seven hundred twenty-nine".

Divisors: 1 223 499 49729 111277 249001 24814771 55527223 12382570729