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12674747232 = 2532737367463
BaseRepresentation
bin10111100110111100…
…10100101101100000
31012201022202212112200
423303132110231200
5201424213402412
65453411453200
7626043400560
oct136336245540
935638685480
1012674747232
115414623214
1225588b7200
13126cba1944
148834a0da0
154e2b059dc
hex2f3794b60

12674747232 has 288 divisors, whose sum is σ = 42513149952. Its totient is φ = 3506291712.

The previous prime is 12674747213. The next prime is 12674747237. The reversal of 12674747232 is 23274747621.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12674747237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27375033 + ... + 27375495.

It is an arithmetic number, because the mean of its divisors is an integer number (147615104).

Almost surely, 212674747232 is an apocalyptic number.

12674747232 is a gapful number since it is divisible by the number (12) 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 12674747232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21256574976).

12674747232 is an abundant number, since it is smaller than the sum of its proper divisors (29838402720).

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

12674747232 is a wasteful number, since it uses less digits than its factorization.

12674747232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 879 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The spelling of 12674747232 in words is "twelve billion, six hundred seventy-four million, seven hundred forty-seven thousand, two hundred thirty-two".