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12969730368 = 263571091093
BaseRepresentation
bin11000001010000111…
…00110000101000000
31020110212211120100000
430011003212011000
5203030222332433
65542550200000
7636254613660
oct140503460500
936425746300
1012969730368
115556090431
12261b653000
1312b903408a
148b072a1a0
1550d973113
hex3050e6140

12969730368 has 336 divisors, whose sum is σ = 44504620160. Its totient is φ = 3668281344.

The previous prime is 12969730363. The next prime is 12969730373. The reversal of 12969730368 is 86303796921.

It is an interprime number because it is at equal distance from previous prime (12969730363) and next prime (12969730373).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12969730363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11865630 + ... + 11866722.

Almost surely, 212969730368 is an apocalyptic number.

12969730368 is a gapful number since it is divisible by the number (18) 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 12969730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22252310080).

12969730368 is an abundant number, since it is smaller than the sum of its proper divisors (31534889792).

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

12969730368 is a wasteful number, since it uses less digits than its factorization.

12969730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 12969730368 in words is "twelve billion, nine hundred sixty-nine million, seven hundred thirty thousand, three hundred sixty-eight".