Search a number
-
+
10690660256017 = 717234783105903
BaseRepresentation
bin1001101110010001110100…
…0000011100100100010001
31101212000110111100111102111
42123210131000130210101
52400123433011143032
634423115503145321
72152242345556450
oct233443500344421
941760414314374
1010690660256017
11345197a011835
121247b085a5241
135c7181640221
1428d605c60b97
1513814e0adc47
hex9b91d01c911

10690660256017 has 32 divisors (see below), whose sum is σ = 13786272202752. Its totient is φ = 8073904591104.

The previous prime is 10690660255981. The next prime is 10690660256041. The reversal of 10690660256017 is 71065206609601.

It is not a de Polignac number, because 10690660256017 - 215 = 10690660223249 is a prime.

It is a super-3 number, since 3×106906602560173 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10690660256117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41424313 + ... + 41681590.

It is an arithmetic number, because the mean of its divisors is an integer number (430821006336).

Almost surely, 210690660256017 is an apocalyptic number.

10690660256017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10690660256017 is a deficient number, since it is larger than the sum of its proper divisors (3095611946735).

10690660256017 is a wasteful number, since it uses less digits than its factorization.

10690660256017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83105997.

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 10690660256017 in words is "ten trillion, six hundred ninety billion, six hundred sixty million, two hundred fifty-six thousand, seventeen".

Divisors: 1 7 17 23 47 119 161 329 391 799 1081 2737 5593 7567 18377 128639 83105903 581741321 1412800351 1911435769 3905977441 9889602457 13380050383 27341842087 32494408073 66401616497 89837481143 227460856511 464811315479 628862368001 1527237179431 10690660256017