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11666193648 = 24319103124193
BaseRepresentation
bin10101101110101101…
…11111110011110000
31010010001000001010020
422313112333303300
5142343021144043
65205343003440
7562046003244
oct126726776360
933101001106
1011666193648
114a47297a5a
122316b99580
13113bc5b385
147c9568424
154842d4e83
hex2b75bfcf0

11666193648 has 80 divisors (see below), whose sum is σ = 32032116480. Its totient is φ = 3648264192.

The previous prime is 11666193641. The next prime is 11666193683. The reversal of 11666193648 is 84639166611.

It is a super-2 number, since 2×116661936482 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11666193648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11666193641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31840 + ... + 156032.

It is an arithmetic number, because the mean of its divisors is an integer number (400401456).

Almost surely, 211666193648 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 11666193648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016058240).

11666193648 is an abundant number, since it is smaller than the sum of its proper divisors (20365922832).

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

11666193648 is a wasteful number, since it uses less digits than its factorization.

11666193648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124326 (or 124320 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The spelling of 11666193648 in words is "eleven billion, six hundred sixty-six million, one hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 103 114 152 206 228 304 309 412 456 618 824 912 1236 1648 1957 2472 3914 4944 5871 7828 11742 15656 23484 31312 46968 93936 124193 248386 372579 496772 745158 993544 1490316 1987088 2359667 2980632 4719334 5961264 7079001 9438668 12791879 14158002 18877336 25583758 28316004 37754672 38375637 51167516 56632008 76751274 102335032 113264016 153502548 204670064 243045701 307005096 486091402 614010192 729137103 972182804 1458274206 1944365608 2916548412 3888731216 5833096824 11666193648