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11186911059856 = 247219262872
BaseRepresentation
bin1010001011001010011111…
…0111000001111110010000
31110121110101001210022101221
42202302213313001332100
52431241243212403411
635443110200134424
72233141041033100
oct242624767017620
943543331708357
1011186911059856
113623384718704
121308121a67414
13631bc8b00b1c
142a9641179200
15145ee59ae071
hexa2ca7dc1f90

11186911059856 has 135 divisors (see below), whose sum is σ = 26614452074139. Its totient is φ = 4541331662784.

The previous prime is 11186911059787. The next prime is 11186911059953. The reversal of 11186911059856 is 65895011968111.

The square root of 11186911059856 is 3344684.

It is a perfect power (a square), and thus also a powerful number.

11186911059856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111869110598562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11186911059794 and 11186911059803.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1779368745 + ... + 1779375031.

Almost surely, 211186911059856 is an apocalyptic number.

11186911059856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11186911059856 is the 3344684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11186911059856

11186911059856 is an abundant number, since it is smaller than the sum of its proper divisors (15427541014283).

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

11186911059856 is an frugal number, since it uses more digits than its factorization.

11186911059856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12634 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 61.

The spelling of 11186911059856 in words is "eleven trillion, one hundred eighty-six billion, nine hundred eleven million, fifty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 392 532 722 784 931 1064 1444 1862 2128 2527 2888 3724 5054 5776 6287 7448 10108 12574 14896 17689 20216 25148 35378 40432 44009 50296 70756 88018 100592 119453 141512 176036 238906 283024 308063 352072 477812 616126 704144 836171 955624 1232252 1672342 1911248 2269607 2464504 3344684 4539214 4929008 5853197 6689368 9078428 11706394 13378736 15887249 18156856 23412788 31774498 36313712 39526369 46825576 63548996 79052738 93651152 111210743 127097992 158105476 222421486 254195984 276684583 316210952 444842972 553369166 632421904 751001011 889685944 1106738332 1502002022 1779371888 1936792081 2213476664 3004004044 3873584162 4426953328 5257007077 6008008088 7747168324 10514014154 12016016176 14269019209 15494336648 21028028308 28538038418 30988673296 36799049539 42056056616 57076076836 73598099078 84112113232 99883134463 114152153672 147196198156 199766268926 228304307344 294392396312 399532537852 588784792624 699181941241 799065075704 1398363882482 1598130151408 2796727764964 5593455529928 11186911059856