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12264343344 = 2432117742641
BaseRepresentation
bin10110110110000001…
…10000011100110000
31011122201112012020200
423123000300130300
5200104132441334
65344551235200
7612631125021
oct133300603460
934581465220
1012264343344
1152239a1750
122463378b00
131205b599c6
14844b8cc48
154bba89799
hex2db030730

12264343344 has 60 divisors (see below), whose sum is σ = 37443416712. Its totient is φ = 3716467200.

The previous prime is 12264343331. The next prime is 12264343373. The reversal of 12264343344 is 44334346221.

12264343344 is a `hidden beast` number, since 1 + 2 + 2 + 643 + 4 + 3 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 12264343299 and 12264343308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3869737 + ... + 3872904.

Almost surely, 212264343344 is an apocalyptic number.

It is an amenable number.

12264343344 is an abundant number, since it is smaller than the sum of its proper divisors (25179073368).

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

12264343344 is a wasteful number, since it uses less digits than its factorization.

12264343344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742666 (or 7742657 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 12264343344 its reverse (44334346221), we get a palindrome (56598689565).

The spelling of 12264343344 in words is "twelve billion, two hundred sixty-four million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 7742641 15485282 23227923 30970564 46455846 61941128 69683769 85169051 92911692 123882256 139367538 170338102 185823384 255507153 278735076 340676204 371646768 511014306 557470152 681352408 766521459 1022028612 1114940304 1362704816 1533042918 2044057224 3066085836 4088114448 6132171672 12264343344