Search a number
-
+
13032055236096 = 29341380929879
BaseRepresentation
bin1011110110100100001100…
…0001011110011000000000
31201010212000100002020120000
42331221003001132120000
53202004122120023341
643414502111320000
72513351322535251
oct275510301363000
951125010066500
1013032055236096
114174955488056
121565848b20000
13736bc0a97340
14330a7d3c6b28
15178ed89348b6
hexbda4305e600

13032055236096 has 400 divisors, whose sum is σ = 41942532693600. Its totient is φ = 4004772544512.

The previous prime is 13032055236049. The next prime is 13032055236149. The reversal of 13032055236096 is 69063255023031.

It is a happy number.

13032055236096 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 2 + 0 + 552 + 3 + 6 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 436146085 + ... + 436175963.

It is an arithmetic number, because the mean of its divisors is an integer number (104856331734).

Almost surely, 213032055236096 is an apocalyptic number.

13032055236096 is a gapful number since it is divisible by the number (16) 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 13032055236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971266346800).

13032055236096 is an abundant number, since it is smaller than the sum of its proper divisors (28910477457504).

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

13032055236096 is an equidigital number, since it uses as much as digits as its factorization.

13032055236096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30731 (or 30706 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 13032055236096 in words is "thirteen trillion, thirty-two billion, fifty-five million, two hundred thirty-six thousand, ninety-six".