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6072666112 = 2117573917
BaseRepresentation
bin1011010011111010…
…11000100000000000
3120200012210101211201
411221331120200000
544414100303422
62442330150544
7303325544632
oct55175304000
916605711751
106072666112
112636952a27
121215882454
1375a15bc76
14418726a52
152581dd727
hex169f58800

6072666112 has 48 divisors (see below), whose sum is σ = 12161511180. Its totient is φ = 3031547904.

The previous prime is 6072666077. The next prime is 6072666121. The reversal of 6072666112 is 2116662706.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5766276096 + 306390016 = 75936^2 + 17504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1548378 + ... + 1552294.

Almost surely, 26072666112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6072666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080755590).

6072666112 is an abundant number, since it is smaller than the sum of its proper divisors (6088845068).

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

6072666112 is an equidigital number, since it uses as much as digits as its factorization.

6072666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 6072666112 is about 77927.3130038499. The cubic root of 6072666112 is about 1824.4269032569.

The spelling of 6072666112 in words is "six billion, seventy-two million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 757 1024 1514 2048 3028 3917 6056 7834 12112 15668 24224 31336 48448 62672 96896 125344 193792 250688 387584 501376 775168 1002752 1550336 2005504 2965169 4011008 5930338 8022016 11860676 23721352 47442704 94885408 189770816 379541632 759083264 1518166528 3036333056 6072666112