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11808695808 = 29357213149
BaseRepresentation
bin10101111111101101…
…00110011000000000
31010110222010220100000
422333312212120000
5143141011231213
65231433200000
7565426154400
oct127766463000
933428126300
1011808695808
11500a778a38
122356860000
131162633590
14800460800
15491a82c73
hex2bfda6600

11808695808 has 720 divisors, whose sum is σ = 44572928400. Its totient is φ = 3093479424.

The previous prime is 11808695783. The next prime is 11808695837. The reversal of 11808695808 is 80859680811.

11808695808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 79252918 + ... + 79253066.

It is an arithmetic number, because the mean of its divisors is an integer number (61906845).

Almost surely, 211808695808 is an apocalyptic number.

11808695808 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 11808695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286464200).

11808695808 is an abundant number, since it is smaller than the sum of its proper divisors (32764232592).

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

11808695808 is an equidigital number, since it uses as much as digits as its factorization.

11808695808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 11808695808 in words is "eleven billion, eight hundred eight million, six hundred ninety-five thousand, eight hundred eight".