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12974374336 = 26711231131013
BaseRepresentation
bin11000001010101010…
…10011110111000000
31020111012120111122211
430011111103313000
5203032414434321
65543233511504
7636342235150
oct140525236700
936435514584
1012974374336
115558772520
122621112594
1312b9c9baa1
148b11b8760
1550e08e0e1
hex305553dc0

12974374336 has 224 divisors, whose sum is σ = 33824314368. Its totient is φ = 4787650560.

The previous prime is 12974374331. The next prime is 12974374337. The reversal of 12974374336 is 63347347921.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 12974374336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12974374331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12807366 + ... + 12808378.

Almost surely, 212974374336 is an apocalyptic number.

12974374336 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 12974374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912157184).

12974374336 is an abundant number, since it is smaller than the sum of its proper divisors (20849940032).

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

12974374336 is a wasteful number, since it uses less digits than its factorization.

12974374336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1169 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 49.

The spelling of 12974374336 in words is "twelve billion, nine hundred seventy-four million, three hundred seventy-four thousand, three hundred thirty-six".