Search a number
-
+
1328163260160 = 28351138980831
BaseRepresentation
bin10011010100111100101…
…100110000011100000000
311200222012222111022012210
4103110330230300130000
5133230034243311120
62454052204022120
7164646060303522
oct23247454603400
94628188438183
101328163260160
114722a8598410
121954a7231940
1398325aa7819
14483d7ab5a12
1524836689ce0
hex1353cb30700

1328163260160 has 288 divisors, whose sum is σ = 4639394672640. Its totient is φ = 321147289600.

The previous prime is 1328163260129. The next prime is 1328163260167. The reversal of 1328163260160 is 610623618231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328163260167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16390945 + ... + 16471775.

It is an arithmetic number, because the mean of its divisors is an integer number (16109009280).

Almost surely, 21328163260160 is an apocalyptic number.

1328163260160 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 1328163260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319697336320).

1328163260160 is an abundant number, since it is smaller than the sum of its proper divisors (3311231412480).

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

1328163260160 is a wasteful number, since it uses less digits than its factorization.

1328163260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81255 (or 81241 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

Adding to 1328163260160 its reverse (610623618231), we get a palindrome (1938786878391).

The spelling of 1328163260160 in words is "one trillion, three hundred twenty-eight billion, one hundred sixty-three million, two hundred sixty thousand, one hundred sixty".