Search a number
-
+
12429164292 = 22371142710223
BaseRepresentation
bin10111001001101010…
…11111111100000100
31012002012122222002020
423210311133330010
5200423331224132
65413200043140
7620002103406
oct134465377404
935065588066
1012429164292
1152a8a37106
1224aa6034b0
1312310478ac
1485ca14b76
154cb29552c
hex2e4d5ff04

12429164292 has 48 divisors (see below), whose sum is σ = 29433341952. Its totient is φ = 4081440160.

The previous prime is 12429164291. The next prime is 12429164303. The reversal of 12429164292 is 29246192421.

It is a super-2 number, since 2×124291642922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12429164291) 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 15 ways as a sum of consecutive naturals, for example, 1210693 + ... + 1220915.

It is an arithmetic number, because the mean of its divisors is an integer number (613194624).

Almost surely, 212429164292 is an apocalyptic number.

12429164292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12429164292 is an abundant number, since it is smaller than the sum of its proper divisors (17004177660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12429164292 is a wasteful number, since it uses less digits than its factorization.

12429164292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11728 (or 11726 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 12429164292 in words is "twelve billion, four hundred twenty-nine million, one hundred sixty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 1427 2854 4281 5708 8562 10223 17124 20446 30669 40892 61338 101317 122676 202634 303951 405268 607902 725833 1215804 1451666 2177499 2903332 4354998 8709996 14588221 29176442 43764663 58352884 87529326 175058652 1035763691 2071527382 3107291073 4143054764 6214582146 12429164292