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12739217740368 = 24375961179229257
BaseRepresentation
bin1011100101100001010010…
…0011000101001001010000
31200002212010222200010112220
42321120110203011021100
53132204404220142433
643032152115421040
72453243456101350
oct271302443051120
950085128603486
1012739217740368
114071743338279
121518b422b4780
137153c2b2ac52
1432081d622b60
15171599e8e2b3
hexb96148c5250

12739217740368 has 640 divisors, whose sum is σ = 39416191488000. Its totient is φ = 3470925496320.

The previous prime is 12739217740357. The next prime is 12739217740373. The reversal of 12739217740368 is 86304771293721.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 49568940496 + ... + 49568940752.

It is an arithmetic number, because the mean of its divisors is an integer number (61587799200).

Almost surely, 212739217740368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12739217740368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19708095744000).

12739217740368 is an abundant number, since it is smaller than the sum of its proper divisors (26676973747632).

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

12739217740368 is a wasteful number, since it uses less digits than its factorization.

12739217740368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 12739217740368 in words is "twelve trillion, seven hundred thirty-nine billion, two hundred seventeen million, seven hundred forty thousand, three hundred sixty-eight".