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11319530166 = 234743323053
BaseRepresentation
bin10101000101011001…
…00101001010110110
31002012212200201020000
422202230211022312
5141140244431131
65111120452130
7550336263450
oct124254451266
932185621200
1011319530166
11488964160a
12223aa7a046
1310b51a2a59
147954c92d0
15463b59ce6
hex2a2b252b6

11319530166 has 80 divisors (see below), whose sum is σ = 29055786144. Its totient is φ = 3226542336.

The previous prime is 11319530113. The next prime is 11319530171. The reversal of 11319530166 is 66103591311.

11319530166 is a `hidden beast` number, since 113 + 1 + 9 + 530 + 1 + 6 + 6 = 666.

It is a super-3 number, since 3×113195301663 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11319530166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479496 + ... + 502548.

Almost surely, 211319530166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11319530166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14527893072).

11319530166 is an abundant number, since it is smaller than the sum of its proper divisors (17736255978).

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

11319530166 is a wasteful number, since it uses less digits than its factorization.

11319530166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23507 (or 23498 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 11319530166 in words is "eleven billion, three hundred nineteen million, five hundred thirty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 433 567 866 1134 1299 2598 3031 3897 6062 7794 9093 11691 18186 23053 23382 27279 35073 46106 54558 69159 70146 81837 138318 161371 163674 207477 245511 322742 414954 484113 491022 622431 968226 1244862 1452339 1867293 2904678 3734586 4357017 8714034 9981949 13071051 19963898 26142102 29945847 59891694 69873643 89837541 139747286 179675082 209620929 269512623 419241858 539025246 628862787 808537869 1257725574 1617075738 1886588361 3773176722 5659765083 11319530166