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12334331424 = 253167769357
BaseRepresentation
bin10110111110010111…
…01111011000100000
31011211121012221211210
423133023233120200
5200230042101144
65355531310120
7614441041632
oct133713573040
934747187753
1012334331424
11525a454838
1224828ab340
1312174c2c7c
148501aaa52
154c2cb1ab9
hex2df2ef620

12334331424 has 48 divisors (see below), whose sum is σ = 32571540288. Its totient is φ = 4086819072.

The previous prime is 12334331411. The next prime is 12334331447. The reversal of 12334331424 is 42413343321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12334331391 and 12334331400.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 368647 + ... + 400710.

It is an arithmetic number, because the mean of its divisors is an integer number (678573756).

Almost surely, 212334331424 is an apocalyptic number.

It is an amenable number.

12334331424 is an abundant number, since it is smaller than the sum of its proper divisors (20237208864).

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

12334331424 is a wasteful number, since it uses less digits than its factorization.

12334331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769537 (or 769529 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 12334331424 its reverse (42413343321), we get a palindrome (54747674745).

The spelling of 12334331424 in words is "twelve billion, three hundred thirty-four million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8016 16032 769357 1538714 2308071 3077428 4616142 6154856 9232284 12309712 18464568 24619424 36929136 73858272 128482619 256965238 385447857 513930476 770895714 1027860952 1541791428 2055721904 3083582856 4111443808 6167165712 12334331424