Search a number
-
+
10666716654 = 23113143263461
BaseRepresentation
bin10011110111100100…
…10010110111101110
31000112101022100102210
421323302102313232
5133321134413104
64522240431250
7525221411166
oct117362226756
930471270383
1010666716654
1145840a1110
122098318526
13100cb75279
147329155a6
154266a8989
hex27bc92dee

10666716654 has 128 divisors (see below), whose sum is σ = 24729255936. Its totient is φ = 3037104000.

The previous prime is 10666716653. The next prime is 10666716659. The reversal of 10666716654 is 45661766601.

It is a super-2 number, since 2×106667166542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666716653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23137984 + ... + 23138444.

It is an arithmetic number, because the mean of its divisors is an integer number (193197312).

Almost surely, 210666716654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666716654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364627968).

10666716654 is an abundant number, since it is smaller than the sum of its proper divisors (14062539282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10666716654 is a wasteful number, since it uses less digits than its factorization.

10666716654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814.

The product of its (nonzero) digits is 1088640, while the sum is 48.

It can be divided in two parts, 106667 and 16654, that added together give a palindrome (123321).

The spelling of 10666716654 in words is "ten billion, six hundred sixty-six million, seven hundred sixteen thousand, six hundred fifty-four".

Divisors: 1 2 3 6 11 22 31 33 43 62 66 86 93 129 186 258 263 341 461 473 526 682 789 922 946 1023 1333 1383 1419 1578 2046 2666 2766 2838 2893 3999 5071 5786 7998 8153 8679 10142 11309 14291 14663 15213 16306 17358 19823 22618 24459 28582 29326 30426 33927 39646 42873 43989 48918 59469 67854 85746 87978 89683 118938 121243 124399 157201 179366 218053 242486 248798 269049 314402 350579 363729 373197 436106 471603 538098 614513 654159 701158 727458 746394 943206 1051737 1229026 1308318 1333673 1843539 2103474 2667346 3687078 3758533 3856369 4001019 5213449 6759643 7517066 7712738 8002038 10426898 11275599 11569107 13519286 15640347 20278929 22551198 23138214 31280694 40557858 41343863 57347939 82687726 114695878 124031589 161616919 172043817 248063178 323233838 344087634 484850757 969701514 1777786109 3555572218 5333358327 10666716654