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11886067008 = 26353312309
BaseRepresentation
bin10110001000111011…
…01111110101000000
31010200100201202200000
423010131233311000
5143320313121013
65243235400000
7600355621404
oct130435576500
933610652600
1011886067008
11504a414082
122378753000
13117568325a
1480a841104
15498767973
hex2c476fd40

11886067008 has 168 divisors, whose sum is σ = 35453177760. Its totient is φ = 3948341760.

The previous prime is 11886066971. The next prime is 11886067019. The reversal of 11886067008 is 80076068811.

11886067008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 5146558 + ... + 5148866.

It is an arithmetic number, because the mean of its divisors is an integer number (211030820).

Almost surely, 211886067008 is an apocalyptic number.

11886067008 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 11886067008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726588880).

11886067008 is an abundant number, since it is smaller than the sum of its proper divisors (23567110752).

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

11886067008 is an equidigital number, since it uses as much as digits as its factorization.

11886067008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11886067008 in words is "eleven billion, eight hundred eighty-six million, sixty-seven thousand, eight".