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12081893376 = 212372331197
BaseRepresentation
bin10110100000010001…
…10001000000000000
31011012000012202221110
423100020301000000
5144220431042001
65314512523320
7605254253640
oct132010610000
934160182843
1012081893376
11513aa06353
122412250540
1311a7108947
14828858520
154aaa4a3d6
hex2d0231000

12081893376 has 416 divisors, whose sum is σ = 39857799168. Its totient is φ = 3179151360.

The previous prime is 12081893339. The next prime is 12081893393. The reversal of 12081893376 is 67339818021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61329310 + ... + 61329506.

Almost surely, 212081893376 is an apocalyptic number.

12081893376 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 12081893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928899584).

12081893376 is an abundant number, since it is smaller than the sum of its proper divisors (27775905792).

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

12081893376 is a wasteful number, since it uses less digits than its factorization.

12081893376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 12081893376 in words is "twelve billion, eighty-one million, eight hundred ninety-three thousand, three hundred seventy-six".