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11016668512 = 2541139193313
BaseRepresentation
bin10100100001010010…
…10000010101100000
31001102202210202010201
422100221100111200
5140030231343022
65021101234544
7540001065043
oct122051202540
931382722121
1011016668512
114743693123
122175562a54
131067512585
147671acc5a
15447283127
hex290a50560

11016668512 has 96 divisors (see below), whose sum is σ = 22565723040. Its totient is φ = 5290721280.

The previous prime is 11016668497. The next prime is 11016668519. The reversal of 11016668512 is 21586661011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11016668519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35196868 + ... + 35197180.

It is an arithmetic number, because the mean of its divisors is an integer number (235059615).

Almost surely, 211016668512 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 11016668512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11282861520).

11016668512 is an abundant number, since it is smaller than the sum of its proper divisors (11549054528).

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

11016668512 is a wasteful number, since it uses less digits than its factorization.

11016668512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 11016668512 in words is "eleven billion, sixteen million, six hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 139 164 193 278 313 328 386 556 626 656 772 1112 1252 1312 1544 2224 2504 3088 4448 5008 5699 6176 7913 10016 11398 12833 15826 22796 25666 26827 31652 43507 45592 51332 53654 60409 63304 87014 91184 102664 107308 120818 126608 174028 182368 205328 214616 241636 253216 348056 410656 429232 483272 696112 858464 966544 1099907 1392224 1783787 1933088 2199814 2476769 3567574 4399628 4953538 7135148 8396851 8799256 9907076 14270296 16793702 17598512 19814152 28540592 33587404 35197024 39628304 57081184 67174808 79256608 134349616 268699232 344270891 688541782 1377083564 2754167128 5508334256 11016668512