Search a number
-
+
64813831845 = 35737433831013
BaseRepresentation
bin111100010111001101…
…001001011010100101
320012021222122210121120
4330113031021122211
52030214320104340
645435225204153
74453101323610
oct742715113245
9205258583546
1064813831845
112553a79a194
121068a030659
13615bb654b9
1431cbd33177
151a451834d0
hexf173496a5

64813831845 has 128 divisors (see below), whose sum is σ = 124999041024. Its totient is φ = 28056720384.

The previous prime is 64813831843. The next prime is 64813831867. The reversal of 64813831845 is 54813831846.

It is not a de Polignac number, because 64813831845 - 21 = 64813831843 is a prime.

It is a super-3 number, since 3×648138318453 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64813831843) 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 127 ways as a sum of consecutive naturals, for example, 63981559 + ... + 63982571.

It is an arithmetic number, because the mean of its divisors is an integer number (976555008).

Almost surely, 264813831845 is an apocalyptic number.

It is an amenable number.

64813831845 is a deficient number, since it is larger than the sum of its proper divisors (60185209179).

64813831845 is a wasteful number, since it uses less digits than its factorization.

64813831845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491.

The product of its digits is 2211840, while the sum is 51.

Subtracting from 64813831845 its reverse (54813831846), we obtain a palindrome (9999999999).

The spelling of 64813831845 in words is "sixty-four billion, eight hundred thirteen million, eight hundred thirty-one thousand, eight hundred forty-five".

Divisors: 1 3 5 7 15 21 35 37 43 105 111 129 185 215 259 301 383 555 645 777 903 1013 1149 1295 1505 1591 1915 2681 3039 3885 4515 4773 5065 5745 7091 7955 8043 11137 13405 14171 15195 16469 21273 23865 33411 35455 37481 40215 42513 43559 49407 55685 70855 82345 99197 106365 112443 115283 130677 167055 187405 212565 217795 247035 262367 297591 304913 345849 387979 495985 562215 576415 609353 653385 787101 914739 1163937 1311835 1487955 1524565 1611683 1729245 1828059 1939895 2715853 3046765 3935505 4265471 4573695 4835049 5819685 8058415 8147559 9140295 11281781 12796413 13579265 14355223 16683097 21327355 24175245 33845343 40737795 43065669 50049291 56408905 63982065 71776115 83415485 100486561 116781679 169226715 215328345 250246455 301459683 350345037 502432805 583908395 617274589 1507298415 1751725185 1851823767 3086372945 4320922123 9259118835 12962766369 21604610615 64813831845