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667743340745 = 513192414091697
BaseRepresentation
bin10011011011110001001…
…10101100100011001001
32100211120011220022211102
421231320212230203021
541420014243400440
61230431305111145
766146205514115
oct11557046544311
92324504808742
10667743340745
11238208787118
12a94b5a884b5
134ac776c6010
14244672b0745
15125822bdb15
hex9b789ac8c9

667743340745 has 96 divisors (see below), whose sum is σ = 935782878240. Its totient is φ = 454373867520.

The previous prime is 667743340741. The next prime is 667743340769. The reversal of 667743340745 is 547043347766.

It is a happy number.

667743340745 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 16 ways, for example, as 102094947529 + 565648393216 = 319523^2 + 752096^2 .

It is not a de Polignac number, because 667743340745 - 22 = 667743340741 is a prime.

It is not an unprimeable number, because it can be changed into a prime (667743340741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393483737 + ... + 393485433.

It is an arithmetic number, because the mean of its divisors is an integer number (9747738315).

Almost surely, 2667743340745 is an apocalyptic number.

667743340745 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

667743340745 is a deficient number, since it is larger than the sum of its proper divisors (268039537495).

667743340745 is a wasteful number, since it uses less digits than its factorization.

667743340745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 56.

The spelling of 667743340745 in words is "six hundred sixty-seven billion, seven hundred forty-three million, three hundred forty thousand, seven hundred forty-five".

Divisors: 1 5 13 19 41 65 95 205 247 361 409 533 779 1235 1697 1805 2045 2665 3895 4693 5317 7771 8485 10127 14801 16769 22061 23465 26585 32243 38855 50635 69577 74005 83845 101023 110305 147649 161215 192413 217997 318611 347885 419159 505115 612617 694073 738245 904501 962065 1089985 1321963 1593055 1919437 2095795 3063085 3470365 4141943 4522505 6053609 6609815 7964021 9022949 9597185 13187387 17185519 20709715 25117297 28456993 30268045 39820105 45114745 65936935 78696917 85927595 125586485 142284965 171436031 250560353 326524861 369940909 393484585 540682867 857180155 1252801765 1632624305 1849704545 2703414335 3257284589 7028877271 10272974473 16286422945 35144386355 51364872365 133548668149 667743340745