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11648818820 = 2251972956553
BaseRepresentation
bin10101101100101001…
…01101111010000100
31010001211022022100002
422312110231322010
5142324044200240
65203522340432
7561445216622
oct126624557204
933054268302
1011648818820
114a384aaaa1
1223111ba718
131138486b02
147c7124512
15482a01d15
hex2b652de84

11648818820 has 24 divisors (see below), whose sum is σ = 24586703064. Its totient is φ = 4635873536.

The previous prime is 11648818807. The next prime is 11648818847. The reversal of 11648818820 is 2881884611.

11648818820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8059371076 + 3589447744 = 89774^2 + 59912^2 .

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, 1474337 + ... + 1482216.

It is an arithmetic number, because the mean of its divisors is an integer number (1024445961).

Almost surely, 211648818820 is an apocalyptic number.

11648818820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11648818820 is an abundant number, since it is smaller than the sum of its proper divisors (12937884244).

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

11648818820 is a wasteful number, since it uses less digits than its factorization.

11648818820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956759 (or 2956757 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 47.

The spelling of 11648818820 in words is "eleven billion, six hundred forty-eight million, eight hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 2956553 5913106 11826212 14782765 29565530 59131060 582440941 1164881882 2329763764 2912204705 5824409410 11648818820