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16341614361 = 32173719314957
BaseRepresentation
bin11110011100000100…
…10011111100011001
31120011212122000121100
433032002103330121
5231431423124421
611301321302013
71115650300362
oct171602237431
946155560540
1016341614361
116a26462816
123200934909
1317057945c7
14b10498b69
156599c4c26
hex3ce093f19

16341614361 has 48 divisors (see below), whose sum is σ = 25803267984. Its totient is φ = 9924083712.

The previous prime is 16341614339. The next prime is 16341614371.

16341614361 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 1 + 614 + 36 + 1 = 666.

16341614361 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 198387225 + 16143227136 = 14085^2 + 127056^2 .

It is not a de Polignac number, because 16341614361 - 214 = 16341597977 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (16341614321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085095 + ... + 1100051.

It is an arithmetic number, because the mean of its divisors is an integer number (537568083).

Almost surely, 216341614361 is an apocalyptic number.

It is an amenable number.

16341614361 is a deficient number, since it is larger than the sum of its proper divisors (9461653623).

16341614361 is a wasteful number, since it uses less digits than its factorization.

16341614361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15210 (or 15207 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 16341614361 in words is "sixteen billion, three hundred forty-one million, six hundred fourteen thousand, three hundred sixty-one".

Divisors: 1 3 9 17 37 51 111 153 193 333 579 629 1737 1887 3281 5661 7141 9843 14957 21423 29529 44871 64269 121397 134613 254269 364191 553409 762807 1092573 1660227 2288421 2886701 4980681 8660103 9407953 25980309 28223859 49073917 84671577 106807937 147221751 320423811 441665253 961271433 1815734929 5447204787 16341614361