Search a number
-
+
1689237414117 = 331128320097767
BaseRepresentation
bin11000100101001110011…
…001010110000011100101
312222111012212012210221000
4120211032121112003211
5210134024234222432
63332005220143513
7233020610052111
oct30451631260345
95874185183830
101689237414117
115a1446533510
12233476237b99
13c33a9a64c66
145ba8c1dc741
152de1aa2957c
hex1894e6560e5

1689237414117 has 32 divisors (see below), whose sum is σ = 2739727733760. Its totient is φ = 1020162602160.

The previous prime is 1689237414107. The next prime is 1689237414169. The reversal of 1689237414117 is 7114147329861.

1689237414117 is a `hidden beast` number, since 1 + 6 + 89 + 2 + 37 + 414 + 117 = 666.

It is not a de Polignac number, because 1689237414117 - 223 = 1689229025509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689237414107) 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 31 ways as a sum of consecutive naturals, for example, 9964833 + ... + 10132934.

It is an arithmetic number, because the mean of its divisors is an integer number (85616491680).

Almost surely, 21689237414117 is an apocalyptic number.

It is an amenable number.

1689237414117 is a deficient number, since it is larger than the sum of its proper divisors (1050490319643).

1689237414117 is a wasteful number, since it uses less digits than its factorization.

1689237414117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20098070 (or 20098064 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 1689237414117 in words is "one trillion, six hundred eighty-nine billion, two hundred thirty-seven million, four hundred fourteen thousand, one hundred seventeen".

Divisors: 1 3 9 11 27 33 99 283 297 849 2547 3113 7641 9339 28017 84051 20097767 60293301 180879903 221075437 542639709 663226311 1989678933 5687668061 5969036799 17063004183 51189012549 62564348671 153567037647 187693046013 563079138039 1689237414117