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12065486976 = 2733171371499
BaseRepresentation
bin10110011110010100…
…01011100010000000
31011010212100020121000
423033022023202000
5144202231040401
65313125132000
7604664642604
oct131712134200
934125306530
1012065486976
11513171aa44
12240885a000
1311a38b310a
148265c7504
154a93a9186
hex2cf28b880

12065486976 has 256 divisors, whose sum is σ = 38005200000. Its totient is φ = 3755114496.

The previous prime is 12065486971. The next prime is 12065486977. The reversal of 12065486976 is 67968456021.

12065486976 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 548 + 6 + 97 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12065486971) 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, 8048275 + ... + 8049773.

Almost surely, 212065486976 is an apocalyptic number.

12065486976 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 12065486976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19002600000).

12065486976 is an abundant number, since it is smaller than the sum of its proper divisors (25939713024).

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

12065486976 is a wasteful number, since it uses less digits than its factorization.

12065486976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12065486976 in words is "twelve billion, sixty-five million, four hundred eighty-six thousand, nine hundred seventy-six".