Search a number
-
+
20582738837 = 173313593641
BaseRepresentation
bin10011001010110100…
…111010101110010101
31222010110001110122122
4103022310322232111
5314123140120322
613242223305325
71326026251643
oct231264725625
958113043578
1020582738837
118802468371
123ba514b245
131c3033b90b
14dd3858193
15806ec9442
hex4cad3ab95

20582738837 has 16 divisors (see below), whose sum is σ = 20835329328. Its totient is φ = 20332216320.

The previous prime is 20582738833. The next prime is 20582738857. The reversal of 20582738837 is 73883728502.

It can be written as a sum of positive squares in 8 ways, for example, as 654899281 + 19927839556 = 25591^2 + 141166^2 .

It is a cyclic number.

It is not a de Polignac number, because 20582738837 - 22 = 20582738833 is a prime.

It is a super-3 number, since 3×205827388373 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20582738833) 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 15 ways as a sum of consecutive naturals, for example, 32110037 + ... + 32110677.

It is an arithmetic number, because the mean of its divisors is an integer number (1302208083).

Almost surely, 220582738837 is an apocalyptic number.

It is an amenable number.

20582738837 is a deficient number, since it is larger than the sum of its proper divisors (252590491).

20582738837 is a wasteful number, since it uses less digits than its factorization.

20582738837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720.

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 20582738837 in words is "twenty billion, five hundred eighty-two million, seven hundred thirty-eight thousand, eight hundred thirty-seven".

Divisors: 1 173 313 593 641 54149 102589 110893 185609 200633 380113 32110357 34709509 65759549 118975369 20582738837