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12433006411 = 7291092112663
BaseRepresentation
bin10111001010001000…
…01001111101001011
31012002110220011110221
423211010021331023
5200430322201121
65413414250511
7620046545050
oct134504117513
935073804427
1012433006411
115300120811
1224ab956a37
131231a91637
1485d335027
154cb7a3b41
hex2e5109f4b

12433006411 has 32 divisors (see below), whose sum is σ = 14909875200. Its totient is φ = 10142858880.

The previous prime is 12433006409. The next prime is 12433006433. The reversal of 12433006411 is 11460033421.

12433006411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12433006411 - 21 = 12433006409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12433001411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4667466 + ... + 4670128.

It is an arithmetic number, because the mean of its divisors is an integer number (465933600).

Almost surely, 212433006411 is an apocalyptic number.

12433006411 is a deficient number, since it is larger than the sum of its proper divisors (2476868789).

12433006411 is a wasteful number, since it uses less digits than its factorization.

12433006411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12433006411 its reverse (11460033421), we get a palindrome (23893039832).

The spelling of 12433006411 in words is "twelve billion, four hundred thirty-three million, six thousand, four hundred eleven".

Divisors: 1 7 29 109 203 211 763 1477 2663 3161 6119 18641 22127 22999 42833 77227 160993 290267 540589 561893 666971 2031869 3933251 4668797 8417743 16294897 58924201 61246337 114064279 428724359 1776143773 12433006411