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11886114240 = 263257211131931
BaseRepresentation
bin10110001000111011…
…11011010111000000
31010200100211011110100
423010131323113000
5143320321123430
65243240402400
7600356206200
oct130435732700
933610734410
1011886114240
11504a446610
122378776400
13117569b8c0
1480a854400
15498776960
hex2c477b5c0

11886114240 has 2016 divisors, whose sum is σ = 60710307840. Its totient is φ = 2090188800.

The previous prime is 11886114197. The next prime is 11886114263. The reversal of 11886114240 is 4241168811.

11886114240 is a `hidden beast` number, since 1 + 18 + 8 + 611 + 4 + 24 + 0 = 666.

11886114240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11886114195 and 11886114204.

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 287 ways as a sum of consecutive naturals, for example, 383423025 + ... + 383423055.

It is an arithmetic number, because the mean of its divisors is an integer number (30114240).

Almost surely, 211886114240 is an apocalyptic number.

11886114240 is a gapful number since it is divisible by the number (10) 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 11886114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355153920).

11886114240 is an abundant number, since it is smaller than the sum of its proper divisors (48824193600).

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

11886114240 is a wasteful number, since it uses less digits than its factorization.

11886114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11886114240 in words is "eleven billion, eight hundred eighty-six million, one hundred fourteen thousand, two hundred forty".