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13331324160 = 28325721119113
BaseRepresentation
bin11000110101001101…
…11101110100000000
31021102002020102202200
430122212331310000
5204300304333120
610042504313200
7651235246200
oct143246756400
937362212680
1013331324160
115721204180
122700772800
131345c193bb
14906774400
1553059be90
hex31a9bdd00

13331324160 has 1296 divisors, whose sum is σ = 62159348160. Its totient is φ = 2601123840.

The previous prime is 13331324137. The next prime is 13331324189. The reversal of 13331324160 is 6142313331.

13331324160 is a `hidden beast` number, since 1 + 3 + 331 + 324 + 1 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117976264 + ... + 117976376.

It is an arithmetic number, because the mean of its divisors is an integer number (47962460).

Almost surely, 213331324160 is an apocalyptic number.

13331324160 is a gapful number since it is divisible by the number (10) 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 13331324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31079674080).

13331324160 is an abundant number, since it is smaller than the sum of its proper divisors (48828024000).

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

13331324160 is a wasteful number, since it uses less digits than its factorization.

13331324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13331324160 its reverse (6142313331), we get a palindrome (19473637491).

The spelling of 13331324160 in words is "thirteen billion, three hundred thirty-one million, three hundred twenty-four thousand, one hundred sixty".