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12065416974 = 232131997101277
BaseRepresentation
bin10110011110010011…
…11010011100001110
31011010212012200120100
423033021322130032
5144202221320344
65313123431530
7604664231532
oct131711723416
934125180510
1012065416974
115131682396
1224088255a6
1311a388a2b0
148265a9bc2
154a9393569
hex2cf27a70e

12065416974 has 192 divisors, whose sum is σ = 30345456960. Its totient is φ = 3433881600.

The previous prime is 12065416967. The next prime is 12065417003. The reversal of 12065416974 is 47961456021.

12065416974 is a `hidden beast` number, since 12 + 0 + 6 + 541 + 6 + 97 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43557324 + ... + 43557600.

It is an arithmetic number, because the mean of its divisors is an integer number (158049255).

Almost surely, 212065416974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12065416974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172728480).

12065416974 is an abundant number, since it is smaller than the sum of its proper divisors (18280039986).

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

12065416974 is a wasteful number, since it uses less digits than its factorization.

12065416974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12065416974 in words is "twelve billion, sixty-five million, four hundred sixteen thousand, nine hundred seventy-four".