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9955131966 = 232131719131713
BaseRepresentation
bin10010100010101111…
…10100001000111110
3221200210100002202100
421101113310020332
5130342003210331
64323501005530
7501461140233
oct112127641076
927623302670
109955131966
114249459a9a
121b19b538a6
13c2860ac40
146a620378a
153d3e98ae6
hex2515f423e

9955131966 has 96 divisors (see below), whose sum is σ = 25889703840. Its totient is φ = 2731180032.

The previous prime is 9955131961. The next prime is 9955132003. The reversal of 9955131966 is 6691315599.

It is a happy number.

9955131966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9955131961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9726 + ... + 141438.

It is an arithmetic number, because the mean of its divisors is an integer number (269684415).

Almost surely, 29955131966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9955131966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944851920).

9955131966 is an abundant number, since it is smaller than the sum of its proper divisors (15934571874).

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

9955131966 is a wasteful number, since it uses less digits than its factorization.

9955131966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131770 (or 131767 counting only the distinct ones).

The product of its digits is 1968300, while the sum is 54.

The square root of 9955131966 is about 99775.4076213172. The cubic root of 9955131966 is about 2151.2076839308.

The spelling of 9955131966 in words is "nine billion, nine hundred fifty-five million, one hundred thirty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 19 26 34 38 39 51 57 78 102 114 117 153 171 221 234 247 306 323 342 442 494 646 663 741 969 1326 1482 1938 1989 2223 2907 3978 4199 4446 5814 8398 12597 25194 37791 75582 131713 263426 395139 790278 1185417 1712269 2239121 2370834 2502547 3424538 4478242 5005094 5136807 6717363 7507641 10273614 13434726 15015282 15410421 20152089 22522923 29108573 30820842 32533111 40304178 42543299 45045846 58217146 65066222 85086598 87325719 97599333 127629897 174651438 195198666 255259794 261977157 292797999 382889691 523954314 553062887 585595998 765779382 1106125774 1659188661 3318377322 4977565983 9955131966