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11483786186264 = 237972114099077
BaseRepresentation
bin1010011100011100011011…
…1111110000111000011000
31111122211122210201022110002
42213013012333300320120
53001122243230430024
640231324544312132
72263450633003010
oct247070677607030
944584583638402
1011483786186264
113728278a14147
121355774912648
13653bbb405bb2
142b9b6528ac40
1514dabdb5e6ae
hexa71c6ff0e18

11483786186264 has 32 divisors (see below), whose sum is σ = 24861805157280. Its totient is φ = 4870884271104.

The previous prime is 11483786186261. The next prime is 11483786186303. The reversal of 11483786186264 is 46268168738411.

It is a happy number.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11483786186264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11483786186261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057044107 + ... + 1057054970.

It is an arithmetic number, because the mean of its divisors is an integer number (776931411165).

Almost surely, 211483786186264 is an apocalyptic number.

11483786186264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11483786186264 is an abundant number, since it is smaller than the sum of its proper divisors (13378018971016).

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

11483786186264 is a wasteful number, since it uses less digits than its factorization.

11483786186264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114099187 (or 2114099183 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 65.

The spelling of 11483786186264 in words is "eleven trillion, four hundred eighty-three billion, seven hundred eighty-six million, one hundred eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2716 5432 2114099077 4228198154 8456396308 14798693539 16912792616 29597387078 59194774156 118389548312 205067610469 410135220938 820270441876 1435473273283 1640540883752 2870946546566 5741893093132 11483786186264