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12323424336 = 243738342373
BaseRepresentation
bin10110111101000100…
…01000100001010000
31011210211200211010120
423132202020201100
5200214244034321
65354501430240
7614246243556
oct133642104120
934724624116
1012323424336
115254285113
12247b10b380
131215174582
1484c96bbd6
154c1d59ec6
hex2de888850

12323424336 has 80 divisors (see below), whose sum is σ = 32661201216. Its totient is φ = 4002628608.

The previous prime is 12323424319. The next prime is 12323424349. The reversal of 12323424336 is 63342432321.

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 = 12323424297 and 12323424306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269646 + ... + 312018.

Almost surely, 212323424336 is an apocalyptic number.

12323424336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323424336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330600608).

12323424336 is an abundant number, since it is smaller than the sum of its proper divisors (20337776880).

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

12323424336 is a wasteful number, since it uses less digits than its factorization.

12323424336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42540 (or 42534 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 12323424336 its reverse (63342432321), we get a palindrome (75665856657).

The spelling of 12323424336 in words is "twelve billion, three hundred twenty-three million, four hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 83 146 166 219 249 292 332 438 498 584 664 876 996 1168 1328 1752 1992 3504 3984 6059 12118 18177 24236 36354 42373 48472 72708 84746 96944 127119 145416 169492 254238 290832 338984 508476 677968 1016952 2033904 3093229 3516959 6186458 7033918 9279687 10550877 12372916 14067836 18559374 21101754 24745832 28135672 37118748 42203508 49491664 56271344 74237496 84407016 148474992 168814032 256738007 513476014 770214021 1026952028 1540428042 2053904056 3080856084 4107808112 6161712168 12323424336