Search a number
-
+
2642746688 = 26197320929
BaseRepresentation
bin1001110110000101…
…0001110101000000
320211011210102220222
42131201101311000
520403020343223
61114123122212
7122326655561
oct23541216500
96734712828
102642746688
11113684177a
12619073368
1333168ba4a
141b0dac168
151070260c8
hex9d851d40

2642746688 has 28 divisors (see below), whose sum is σ = 5247109140. Its totient is φ = 1320640512.

The previous prime is 2642746681. The next prime is 2642746693. The reversal of 2642746688 is 8866472462.

It can be written as a sum of positive squares in 2 ways, for example, as 990486784 + 1652259904 = 31472^2 + 40648^2 .

It is a super-2 number, since 2×26427466882 = 13968220113869938688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642746681) 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 3 ways as a sum of consecutive naturals, for example, 115808 + ... + 136736.

It is an arithmetic number, because the mean of its divisors is an integer number (187396755).

Almost surely, 22642746688 is an apocalyptic number.

It is an amenable number.

2642746688 is a deficient number, since it is larger than the sum of its proper divisors (2604362452).

2642746688 is a wasteful number, since it uses less digits than its factorization.

2642746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22914 (or 22904 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 53.

The square root of 2642746688 is about 51407.6520374156. The cubic root of 2642746688 is about 1382.5637924101.

The spelling of 2642746688 in words is "two billion, six hundred forty-two million, seven hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 1973 3946 7892 15784 20929 31568 41858 63136 83716 126272 167432 334864 669728 1339456 41292917 82585834 165171668 330343336 660686672 1321373344 2642746688