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11189320782516 = 22321718283203893
BaseRepresentation
bin1010001011010011011101…
…1111011001001010110100
31110121200121000002220110100
42202310313133121022310
52431311212110020031
635444145240554100
72233254541242432
oct242646737311264
943550530086410
1011189320782516
113624400970a38
121308694a82930
136321c1112016
142a97cd209d52
151460d7305de6
hexa2d377d92b4

11189320782516 has 36 divisors (see below), whose sum is σ = 29947887978372. Its totient is φ = 3510375147264.

The previous prime is 11189320782487. The next prime is 11189320782547. The reversal of 11189320782516 is 61528702398111.

11189320782516 is a `hidden beast` number, since 1 + 1 + 18 + 9 + 32 + 0 + 7 + 82 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5381240062500 + 5808080720016 = 2319750^2 + 2409996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9141601335 + ... + 9141602558.

It is an arithmetic number, because the mean of its divisors is an integer number (831885777177).

Almost surely, 211189320782516 is an apocalyptic number.

It is an amenable number.

11189320782516 is an abundant number, since it is smaller than the sum of its proper divisors (18758567195856).

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

11189320782516 is a wasteful number, since it uses less digits than its factorization.

11189320782516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18283203920 (or 18283203915 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 11189320782516 in words is "eleven trillion, one hundred eighty-nine billion, three hundred twenty million, seven hundred eighty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 18283203893 36566407786 54849611679 73132815572 109699223358 164548835037 219398446716 310814466181 329097670074 621628932362 658195340148 932443398543 1243257864724 1864886797086 2797330195629 3729773594172 5594660391258 11189320782516