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11918953847808 = 210347175997211
BaseRepresentation
bin1010110101110001100100…
…0000101001110000000000
31120012102220101102222210000
42231130121000221300000
53030240004141112213
641203254121440000
72340054534046350
oct255343100516000
946172811388700
1011918953847808
1138858887a2137
121405b81640000
13685c4c90ba07
142d2c47d20b60
1515a08cba5c73
hexad719029c00

11918953847808 has 1760 divisors, whose sum is σ = 44460965767680. Its totient is φ = 3103512330240.

The previous prime is 11918953847707. The next prime is 11918953847831. The reversal of 11918953847808 is 80874835981911.

11918953847808 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 8 + 9 + 538 + 4 + 7 + 80 + 8 = 666.

It is a super-2 number, since 2×119189538478082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56487932823 + ... + 56487933033.

It is an arithmetic number, because the mean of its divisors is an integer number (25261912368).

Almost surely, 211918953847808 is an apocalyptic number.

11918953847808 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 11918953847808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230482883840).

11918953847808 is an abundant number, since it is smaller than the sum of its proper divisors (32542011919872).

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

11918953847808 is a wasteful number, since it uses less digits than its factorization.

11918953847808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 72.

The spelling of 11918953847808 in words is "eleven trillion, nine hundred eighteen billion, nine hundred fifty-three million, eight hundred forty-seven thousand, eight hundred eight".