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11718221663808 = 2632113315587513
BaseRepresentation
bin1010101010000101110001…
…1100001000111001000000
31112111020210000102111122200
42222201130130020321000
53013442404221220213
640531135434233200
72316420312455202
oct252413434107100
945436700374580
1011718221663808
1138087406aa2a0
1213930a0885800
1367003c9c238a
142c72448c8772
15154c40303273
hexaa85c708e40

11718221663808 has 168 divisors, whose sum is σ = 36752342686176. Its totient is φ = 3540247603200.

The previous prime is 11718221663791. The next prime is 11718221663881. The reversal of 11718221663808 is 80836612281711.

11718221663808 is a `hidden beast` number, since 1 + 1 + 7 + 182 + 21 + 66 + 380 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696541 + ... + 4890972.

Almost surely, 211718221663808 is an apocalyptic number.

11718221663808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11718221663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376171343088).

11718221663808 is an abundant number, since it is smaller than the sum of its proper divisors (25034121022368).

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

11718221663808 is a wasteful number, since it uses less digits than its factorization.

11718221663808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587873 (or 5587860 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11718221663808 in words is "eleven trillion, seven hundred eighteen billion, two hundred twenty-one million, six hundred sixty-three thousand, eight hundred eight".