Search a number
-
+
16341793116 = 223111728325733
BaseRepresentation
bin11110011100000101…
…11111100101011100
31120011212222002210220
433032002333211130
5231431444334431
611301325201340
71115651643465
oct171602774534
946155862726
1016341793116
116a26575050
123200a00250
131705827a8c
14b10503d6c
15659a0cb96
hex3ce0bf95c

16341793116 has 96 divisors (see below), whose sum is σ = 44201541888. Its totient is φ = 4644111360.

The previous prime is 16341793081. The next prime is 16341793121. The reversal of 16341793116 is 61139714361.

It is a super-2 number, since 2×163417931162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622186 + ... + 647918.

It is an arithmetic number, because the mean of its divisors is an integer number (460432728).

Almost surely, 216341793116 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 16341793116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100770944).

16341793116 is an abundant number, since it is smaller than the sum of its proper divisors (27859748772).

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

16341793116 is a wasteful number, since it uses less digits than its factorization.

16341793116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26051 (or 26049 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The spelling of 16341793116 in words is "sixteen billion, three hundred forty-one million, seven hundred ninety-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 283 374 561 566 748 849 1122 1132 1698 2244 3113 3396 4811 6226 9339 9622 12452 14433 18678 19244 25733 28866 37356 51466 52921 57732 77199 102932 105842 154398 158763 211684 283063 308796 317526 437461 566126 635052 849189 874922 1132252 1312383 1698378 1749844 2624766 3396756 4812071 5249532 7282439 9624142 14436213 14564878 19248284 21847317 28872426 29129756 43694634 57744852 80106829 87389268 123801463 160213658 240320487 247602926 320427316 371404389 480640974 495205852 742808778 961281948 1361816093 1485617556 2723632186 4085448279 5447264372 8170896558 16341793116