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11493684666 = 23217298091601
BaseRepresentation
bin10101011010001001…
…11011010110111010
31002200000101200021200
422231010323112322
5142014340402131
65140301315030
7554552464512
oct125504732672
932600350250
1011493684666
114968981452
122289265a76
1311122ab059
147b06a0842
154740ab2e6
hex2ad13b5ba

11493684666 has 96 divisors (see below), whose sum is σ = 27327877200. Its totient is φ = 3475046400.

The previous prime is 11493684647. The next prime is 11493684673. The reversal of 11493684666 is 66648639411.

It can be written as a sum of positive squares in 8 ways, for example, as 11473623225 + 20061441 = 107115^2 + 4479^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7178266 + ... + 7179866.

Almost surely, 211493684666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11493684666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663938600).

11493684666 is an abundant number, since it is smaller than the sum of its proper divisors (15834192534).

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

11493684666 is a wasteful number, since it uses less digits than its factorization.

11493684666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2461 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 11493684666 in words is "eleven billion, four hundred ninety-three million, six hundred eighty-four thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 809 986 1479 1601 1618 2427 2958 3202 4437 4803 4854 7281 8874 9606 13753 14409 14562 23461 27217 27506 28818 41259 46429 46922 54434 70383 81651 82518 92858 123777 139287 140766 163302 211149 244953 247554 278574 398837 417861 422298 489906 789293 797674 835722 1196511 1295209 1578586 2367879 2393022 2590418 3589533 3885627 4735758 7103637 7179066 7771254 11656881 14207274 22018553 23313762 37561061 44037106 66055659 75122122 112683183 132111318 198166977 225366366 338049549 396333954 638538037 676099098 1277076074 1915614111 3831228222 5746842333 11493684666