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12324207296 = 26437956687
BaseRepresentation
bin10110111101001010…
…00111101011000000
31011210220011121011002
423132211013223000
5200214444113141
65354530311132
7614256014342
oct133645075300
934726147132
1012324207296
11525476a395
12247b4284a8
131215389a6b
1484cad3292
154c1e61e9b
hex2de947ac0

12324207296 has 56 divisors (see below), whose sum is σ = 25341803520. Its totient is φ = 5942506752.

The previous prime is 12324207281. The next prime is 12324207347. The reversal of 12324207296 is 69270242321.

It is a happy number.

12324207296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 189065 + ... + 245751.

Almost surely, 212324207296 is an apocalyptic number.

12324207296 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 12324207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12670901760).

12324207296 is an abundant number, since it is smaller than the sum of its proper divisors (13017596224).

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

12324207296 is an equidigital number, since it uses as much as digits as its factorization.

12324207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56821 (or 56811 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 12324207296 in words is "twelve billion, three hundred twenty-four million, two hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 79 86 158 172 316 344 632 688 1264 1376 2528 2752 3397 5056 6794 13588 27176 54352 56687 108704 113374 217408 226748 453496 906992 1813984 2437541 3627968 4478273 4875082 8956546 9750164 17913092 19500328 35826184 39000656 71652368 78001312 143304736 156002624 192565739 286609472 385131478 770262956 1540525912 3081051824 6162103648 12324207296