Search a number
-
+
10717683441335 = 513327116212221
BaseRepresentation
bin1001101111110110011110…
…1101101101111010110111
31101221121012210020112201222
42123331213231231322313
52401044303430110320
634443345155540555
72154220121056343
oct233754755557267
941847183215658
1010717683441335
113462386990942
1212511aa5ba75b
135c989a07b000
14290a4abba623
15138bd16c3825
hex9bf67b6deb7

10717683441335 has 64 divisors (see below), whose sum is σ = 13998838909440. Its totient is φ = 7876979136000.

The previous prime is 10717683441301. The next prime is 10717683441359. The reversal of 10717683441335 is 53314438671701.

It is not a de Polignac number, because 10717683441335 - 224 = 10717666664119 is a prime.

It is a super-2 number, since 2×107176834413352 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4825610525 + ... + 4825612745.

It is an arithmetic number, because the mean of its divisors is an integer number (218731857960).

Almost surely, 210717683441335 is an apocalyptic number.

10717683441335 is a deficient number, since it is larger than the sum of its proper divisors (3281155468105).

10717683441335 is a wasteful number, since it uses less digits than its factorization.

10717683441335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 10717683441335 in words is "ten trillion, seven hundred seventeen billion, six hundred eighty-three million, four hundred forty-one thousand, three hundred thirty-five".

Divisors: 1 5 13 65 169 271 845 1355 1621 2197 2221 3523 8105 10985 11105 17615 21073 28873 45799 105365 144365 228995 273949 375349 439291 595387 601891 1369745 1876745 2196455 2976935 3009455 3561337 3600241 4879537 5710783 7824583 17806685 18001205 24397685 28553915 39122915 46803133 74240179 101719579 234015665 371200895 508597895 608440729 965122327 975665311 1322354527 3042203645 4825611635 4878326555 6611772635 7909729477 12683649043 39548647385 63418245215 164887437559 824437187795 2143536688267 10717683441335