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11050610116 = 22713417110429
BaseRepresentation
bin10100100101010101…
…01110110111000100
31001112010200011021011
422102222232313010
5140112424010431
65024312532004
7540562431130
oct122252566704
931463604234
1011050610116
114760865a37
1221849b1004
131071567670
1476b8c63c0
1544a239cb1
hex292aaedc4

11050610116 has 96 divisors (see below), whose sum is σ = 24727610880. Its totient is φ = 4204569600.

The previous prime is 11050610101. The next prime is 11050610141. The reversal of 11050610116 is 61101605011.

11050610116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1054390 + ... + 1064818.

It is an arithmetic number, because the mean of its divisors is an integer number (257579280).

Almost surely, 211050610116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11050610116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12363805440).

11050610116 is an abundant number, since it is smaller than the sum of its proper divisors (13677000764).

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

11050610116 is a wasteful number, since it uses less digits than its factorization.

11050610116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565 (or 10563 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 11050610116 in words is "eleven billion, fifty million, six hundred ten thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 41 52 71 82 91 142 164 182 284 287 364 497 533 574 923 994 1066 1148 1846 1988 2132 2911 3692 3731 5822 6461 7462 10429 11644 12922 14924 20377 20858 25844 37843 40754 41716 73003 75686 81508 135577 146006 151372 264901 271154 292012 427589 529802 542308 740459 855178 949039 1059604 1480918 1710356 1898078 2961836 2993123 3796156 5183213 5558657 5986246 9625967 10366426 11117314 11972492 19251934 20732852 22234628 30358819 38503868 38910599 60717638 67381769 77821198 121435276 134763538 155642396 212511733 269527076 394664647 425023466 789329294 850046932 1578658588 2762652529 5525305058 11050610116