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11328196680 = 2334541531609
BaseRepresentation
bin10101000110011011…
…01001000001001000
31002020111000000110000
422203031221001020
5141200004243210
65112030323000
7550503040323
oct124315510110
932214000400
1011328196680
114893520919
122241959460
1310b6c18678
147967037ba
154647bcac0
hex2a3369048

11328196680 has 320 divisors, whose sum is σ = 39764617200. Its totient is φ = 2889768960.

The previous prime is 11328196631. The next prime is 11328196681. The reversal of 11328196680 is 8669182311.

It can be written as a sum of positive squares in 8 ways, for example, as 6558084324 + 4770112356 = 80982^2 + 69066^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11328196681) 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 79 ways as a sum of consecutive naturals, for example, 7039716 + ... + 7041324.

Almost surely, 211328196680 is an apocalyptic number.

11328196680 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 11328196680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19882308600).

11328196680 is an abundant number, since it is smaller than the sum of its proper divisors (28436420520).

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

11328196680 is a wasteful number, since it uses less digits than its factorization.

11328196680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11328196680 in words is "eleven billion, three hundred twenty-eight million, one hundred ninety-six thousand, six hundred eighty".