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11680168664976 = 243761356708657
BaseRepresentation
bin1010100111111000000001…
…0011011101111110010000
31112100121120000222212122120
42221332000103131332100
53012331441134234401
640501443450334240
72313602316351510
oct251760023357620
945317500885576
1011680168664976
1137a359378a029
121387840a2a380
1366958711bb16
142c5474b3b840
15153c64710836
hexa9f804ddf90

11680168664976 has 80 divisors (see below), whose sum is σ = 34540563083904. Its totient is φ = 3331746957312.

The previous prime is 11680168664963. The next prime is 11680168664977. The reversal of 11680168664976 is 67946686108611.

11680168664976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11680168664976.

It is not an unprimeable number, because it can be changed into a prime (11680168664977) 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, 28148361 + ... + 28560296.

Almost surely, 211680168664976 is an apocalyptic number.

11680168664976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11680168664976 is an abundant number, since it is smaller than the sum of its proper divisors (22860394418928).

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

11680168664976 is a wasteful number, since it uses less digits than its factorization.

11680168664976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56709288 (or 56709282 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 11680168664976 in words is "eleven trillion, six hundred eighty billion, one hundred sixty-eight million, six hundred sixty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 613 1226 1839 2452 3678 4291 4904 7356 8582 9808 12873 14712 17164 25746 29424 34328 51492 68656 102984 205968 56708657 113417314 170125971 226834628 340251942 396960599 453669256 680503884 793921198 907338512 1190881797 1361007768 1587842396 2381763594 2722015536 3175684792 4763527188 6351369584 9527054376 19054108752 34762406741 69524813482 104287220223 139049626964 208574440446 243336847187 278099253928 417148880892 486673694374 556198507856 730010541561 834297761784 973347388748 1460021083122 1668595523568 1946694777496 2920042166244 3893389554992 5840084332488 11680168664976