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13182370344 = 233211132295591
BaseRepresentation
bin11000100011011101…
…10000001000101000
31021000200221210112200
430101232300020220
5203444141322334
610020023540200
7644446204413
oct142156601050
937020853480
1013182370344
115655116a50
12267a8ba660
1313210c5750
148d0a7cb7a
15522477799
hex311bb0228

13182370344 has 192 divisors, whose sum is σ = 42134601600. Its totient is φ = 3670617600.

The previous prime is 13182370321. The next prime is 13182370349. The reversal of 13182370344 is 44307328131.

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 = 13182370299 and 13182370308.

It is not an unprimeable number, because it can be changed into a prime (13182370349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2354989 + ... + 2360579.

It is an arithmetic number, because the mean of its divisors is an integer number (219451050).

Almost surely, 213182370344 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 13182370344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067300800).

13182370344 is an abundant number, since it is smaller than the sum of its proper divisors (28952231256).

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

13182370344 is a wasteful number, since it uses less digits than its factorization.

13182370344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 13182370344 its reverse (44307328131), we get a palindrome (57489698475).

The spelling of 13182370344 in words is "thirteen billion, one hundred eighty-two million, three hundred seventy thousand, three hundred forty-four".