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11983455438912 = 263236756688311
BaseRepresentation
bin1010111001100001110110…
…0110101100100001000000
31120102121101121120022121200
42232120131212230201000
53032314104043021122
641253042354421200
72344530124402356
oct256303546544100
946377347508550
1011983455438912
113900178207221
121416582b91800
1368c05bb7b979
142d60065b57d6
1515bab570d5ac
hexae61d9ac840

11983455438912 has 84 divisors (see below), whose sum is σ = 34442004345216. Its totient is φ = 3983600920320.

The previous prime is 11983455438841. The next prime is 11983455438931. The reversal of 11983455438912 is 21983455438911.

It is a happy number.

11983455438912 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 3 + 4 + 5 + 543 + 89 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11983455438912.

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 11 ways as a sum of consecutive naturals, for example, 28132764 + ... + 28555547.

Almost surely, 211983455438912 is an apocalyptic number.

11983455438912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11983455438912 is an abundant number, since it is smaller than the sum of its proper divisors (22458548906304).

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

11983455438912 is a wasteful number, since it uses less digits than its factorization.

11983455438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56688696 (or 56688683 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

Subtracting 11983455438912 from its reverse (21983455438911), we obtain a palindrome (9999999999999).

The spelling of 11983455438912 in words is "eleven trillion, nine hundred eighty-three billion, four hundred fifty-five million, four hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 367 576 734 1101 1468 2202 2936 3303 4404 5872 6606 8808 11744 13212 17616 23488 26424 35232 52848 70464 105696 211392 56688311 113376622 170064933 226753244 340129866 453506488 510194799 680259732 907012976 1020389598 1360519464 1814025952 2040779196 2721038928 3628051904 4081558392 5442077856 8163116784 10884155712 16326233568 20804610137 32652467136 41609220274 62413830411 83218440548 124827660822 166436881096 187241491233 249655321644 332873762192 374482982466 499310643288 665747524384 748965964932 998621286576 1331495048768 1497931929864 1997242573152 2995863859728 3994485146304 5991727719456 11983455438912