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11106397264 = 242923936201
BaseRepresentation
bin10100101011111111…
…00010110001010000
31001200000122102211211
422111333202301100
5140221214203024
65034024345504
7542140550644
oct122577426120
931600572754
1011106397264
11478a2a9716
12219b615294
13107cc9ac01
14775088c24
154500a9594
hex295fe2c50

11106397264 has 20 divisors (see below), whose sum is σ = 22260667860. Its totient is φ = 5361708800.

The previous prime is 11106397261. The next prime is 11106397327. The reversal of 11106397264 is 46279360111.

11106397264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8988556864 + 2117840400 = 94808^2 + 46020^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106397261) 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 3 ways as a sum of consecutive naturals, for example, 11967637 + ... + 11968564.

It is an arithmetic number, because the mean of its divisors is an integer number (1113033393).

Almost surely, 211106397264 is an apocalyptic number.

It is an amenable number.

11106397264 is an abundant number, since it is smaller than the sum of its proper divisors (11154270596).

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

11106397264 is a wasteful number, since it uses less digits than its factorization.

11106397264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23936238 (or 23936232 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 11106397264 in words is "eleven billion, one hundred six million, three hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 23936201 47872402 95744804 191489608 382979216 694149829 1388299658 2776599316 5553198632 11106397264