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2642337313 = 711235328151
BaseRepresentation
bin1001110101111110…
…1101111000100001
320211011000122100221
42131133231320201
520402414243223
61114110243041
7122323332220
oct23537557041
96734018327
102642337313
111136592150
12618ab6481
13331577605
141b0d02cb7
15106e94b5d
hex9d7ede21

2642337313 has 32 divisors (see below), whose sum is σ = 3502559232. Its totient is φ = 1932216000.

The previous prime is 2642337281. The next prime is 2642337317. The reversal of 2642337313 is 3137332462.

It is not a de Polignac number, because 2642337313 - 25 = 2642337281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2642337317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79788 + ... + 107938.

It is an arithmetic number, because the mean of its divisors is an integer number (109454976).

Almost surely, 22642337313 is an apocalyptic number.

2642337313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2642337313 is a deficient number, since it is larger than the sum of its proper divisors (860221919).

2642337313 is a wasteful number, since it uses less digits than its factorization.

2642337313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28245.

The product of its digits is 54432, while the sum is 34.

The square root of 2642337313 is about 51403.6702288854. The cubic root of 2642337313 is about 1382.4923999857.

Adding to 2642337313 its reverse (3137332462), we get a palindrome (5779669775).

It can be divided in two parts, 26423 and 37313, that added together give a palindrome (63736).

The spelling of 2642337313 in words is "two billion, six hundred forty-two million, three hundred thirty-seven thousand, three hundred thirteen".

Divisors: 1 7 11 23 53 77 161 253 371 583 1219 1771 4081 8533 13409 28151 93863 197057 309661 647473 1492003 2167627 4532311 7122203 10444021 16412033 34316069 49855421 114884231 240212483 377476759 2642337313