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16442261601 = 3149229160627
BaseRepresentation
bin11110101000000100…
…10000000001100001
31120102220000102122220
433110002100001201
5232133204332401
611315314421253
71121311626513
oct172402200141
946386012586
1016442261601
116a78256557
12322a591829
1317205a389c
14b1d9b7bb3
15663756336
hex3d4090061

16442261601 has 16 divisors (see below), whose sum is σ = 22166664000. Its totient is φ = 10840327488.

The previous prime is 16442261599. The next prime is 16442261663. The reversal of 16442261601 is 10616224461.

It is not a de Polignac number, because 16442261601 - 21 = 16442261599 is a prime.

It is a super-3 number, since 3×164422616013 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442261681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22050 + ... + 182676.

It is an arithmetic number, because the mean of its divisors is an integer number (1385416500).

Almost surely, 216442261601 is an apocalyptic number.

It is an amenable number.

16442261601 is a deficient number, since it is larger than the sum of its proper divisors (5724402399).

16442261601 is a wasteful number, since it uses less digits than its factorization.

16442261601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161008.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 16442261601 in words is "sixteen billion, four hundred forty-two million, two hundred sixty-one thousand, six hundred one".

Divisors: 1 3 149 229 447 687 34121 102363 160627 481881 23933423 36783583 71800269 110350749 5480753867 16442261601