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12743850341376 = 2103471131191337
BaseRepresentation
bin1011100101110010100010…
…1011000011010000000000
31200010022002211201122110000
42321130220223003100000
53132243401141411001
643034235524240000
72453466330414630
oct271345053032000
950108084648400
1012743850341376
114073700316a50
121519a15840000
1371598082108b
14320b3c9a86c0
1517176ba21a86
hexb9728ac3400

12743850341376 has 1760 divisors, whose sum is σ = 49379007135744. Its totient is φ = 3177086976000.

The previous prime is 12743850341333. The next prime is 12743850341471. The reversal of 12743850341376 is 67314305834721.

12743850341376 is a `hidden beast` number, since 1 + 2 + 74 + 38 + 503 + 4 + 1 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 37815579480 + ... + 37815579816.

Almost surely, 212743850341376 is an apocalyptic number.

12743850341376 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 12743850341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24689503567872).

12743850341376 is an abundant number, since it is smaller than the sum of its proper divisors (36635156794368).

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

12743850341376 is a wasteful number, since it uses less digits than its factorization.

12743850341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 12743850341376 in words is "twelve trillion, seven hundred forty-three billion, eight hundred fifty million, three hundred forty-one thousand, three hundred seventy-six".