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13211486208 = 211368849
BaseRepresentation
bin11000100110111011…
…10100100000000000
31021002201202001000000
430103131310200000
5204024120024313
610022544000000
7645251531334
oct142335644000
937081661000
1013211486208
11566a5a3148
122688600000
13132714b17b
148d489b7c4
15524cc9673
hex313774800

13211486208 has 168 divisors, whose sum is σ = 39611139750. Its totient is φ = 4403331072.

The previous prime is 13211486179. The next prime is 13211486209. The reversal of 13211486208 is 80268411231.

13211486208 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 4 + 8 + 620 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13204767744 + 6718464 = 114912^2 + 2592^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13211486209) 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 13 ways as a sum of consecutive naturals, for example, 1488568 + ... + 1497416.

Almost surely, 213211486208 is an apocalyptic number.

13211486208 is a gapful number since it is divisible by the number (18) 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 13211486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805569875).

13211486208 is an abundant number, since it is smaller than the sum of its proper divisors (26399653542).

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

13211486208 is an frugal number, since it uses more digits than its factorization.

13211486208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8889 (or 8854 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 13211486208 its reverse (80268411231), we get a palindrome (93479897439).

The spelling of 13211486208 in words is "thirteen billion, two hundred eleven million, four hundred eighty-six thousand, two hundred eight".