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16673852161 = 173741646549
BaseRepresentation
bin11111000011101011…
…01100101100000001
31121001000210110012001
433201311230230001
5233122001232121
611354310304001
71130123255611
oct174165545401
947030713161
1016673852161
117086a55a0a
123294058001
13175956bb15
14b42660a41
15678c50991
hex3e1d6cb01

16673852161 has 16 divisors (see below), whose sum is σ = 18574088400. Its totient is φ = 14896465920.

The previous prime is 16673852149. The next prime is 16673852171. The reversal of 16673852161 is 16125837661.

It is a happy number.

16673852161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 752459761 + 15921392400 = 27431^2 + 126180^2 .

It is a cyclic number.

It is not a de Polignac number, because 16673852161 - 27 = 16673852033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16673852131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297486 + ... + 349063.

It is an arithmetic number, because the mean of its divisors is an integer number (1160880525).

Almost surely, 216673852161 is an apocalyptic number.

It is an amenable number.

16673852161 is a deficient number, since it is larger than the sum of its proper divisors (1900236239).

16673852161 is a wasteful number, since it uses less digits than its factorization.

16673852161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646644.

The product of its digits is 362880, while the sum is 46.

The spelling of 16673852161 in words is "sixteen billion, six hundred seventy-three million, eight hundred fifty-two thousand, one hundred sixty-one".

Divisors: 1 17 37 41 629 697 1517 25789 646549 10991333 23922313 26508509 406679321 450644653 980814833 16673852161