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16658085661 = 710326985889
BaseRepresentation
bin11111000001110011…
…00011011100011101
31120222221010102121121
433200321203130131
5233103432220121
611352544330541
71126542251260
oct174071433435
946887112547
1016658085661
117079067348
12328a913a51
13175620b629
14b40518cd7
15677689141
hex3e0e6371d

16658085661 has 16 divisors (see below), whose sum is σ = 19294329600. Its totient is φ = 14087006208.

The previous prime is 16658085643. The next prime is 16658085671.

16658085661 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 16658085661 - 217 = 16657954589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16658085599 and 16658085608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16658085671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 151005 + ... + 236893.

It is an arithmetic number, because the mean of its divisors is an integer number (1205895600).

Almost surely, 216658085661 is an apocalyptic number.

It is an amenable number.

16658085661 is a deficient number, since it is larger than the sum of its proper divisors (2636243939).

16658085661 is a wasteful number, since it uses less digits than its factorization.

16658085661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86268.

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 16658085661 in words is "sixteen billion, six hundred fifty-eight million, eighty-five thousand, six hundred sixty-one".

Divisors: 1 7 103 269 721 1883 27707 85889 193949 601223 8846567 23104141 61925969 161728987 2379726523 16658085661