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11886632704 = 28281373443
BaseRepresentation
bin10110001000111111…
…11001111100000000
31010200101210111122201
423010133321330000
5143320434221304
65243255442544
7600363465562
oct130437717400
933611714581
1011886632704
11504a7700a1
122378986454
13117582089b
1480a94b332
1549882a3a4
hex2c47f9f00

11886632704 has 72 divisors (see below), whose sum is σ = 23929001712. Its totient is φ = 5892956160.

The previous prime is 11886632669. The next prime is 11886632729. The reversal of 11886632704 is 40723668811.

It is a happy number.

11886632704 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 7 ways as a sum of consecutive naturals, for example, 26831907 + ... + 26832349.

It is an arithmetic number, because the mean of its divisors is an integer number (332347246).

Almost surely, 211886632704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11886632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964500856).

11886632704 is an abundant number, since it is smaller than the sum of its proper divisors (12042369008).

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

11886632704 is an equidigital number, since it uses as much as digits as its factorization.

11886632704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 11886632704 in words is "eleven billion, eight hundred eighty-six million, six hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 281 373 443 562 746 886 1124 1492 1772 2248 2984 3544 4496 5968 7088 8992 11936 14176 17984 23872 28352 35968 47744 56704 71936 95488 104813 113408 124483 165239 209626 248966 330478 419252 497932 660956 838504 995864 1321912 1677008 1991728 2643824 3354016 3983456 5287648 6708032 7966912 10575296 13416064 15933824 21150592 26832128 31867648 42301184 46432159 92864318 185728636 371457272 742914544 1485829088 2971658176 5943316352 11886632704