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12286325376 = 2733131937389
BaseRepresentation
bin10110111000101001…
…00111001010000000
31011201020212222221000
423130110213022000
5200130244403001
65351054332000
7613316020413
oct133424471200
934636788830
1012286325376
115235346116
12246a7ba000
13120a585320
14847a71b7a
154bd97ca86
hex2dc527280

12286325376 has 512 divisors, whose sum is σ = 42325920000. Its totient is φ = 3475685376.

The previous prime is 12286325353. The next prime is 12286325383. The reversal of 12286325376 is 67352368221.

12286325376 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 632 + 5 + 3 + 7 + 6 = 666.

It is a super-3 number, since 3×122863253763 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31584190 + ... + 31584578.

Almost surely, 212286325376 is an apocalyptic number.

12286325376 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 12286325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162960000).

12286325376 is an abundant number, since it is smaller than the sum of its proper divisors (30039594624).

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

12286325376 is a wasteful number, since it uses less digits than its factorization.

12286325376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 12286325376 in words is "twelve billion, two hundred eighty-six million, three hundred twenty-five thousand, three hundred seventy-six".