Search a number
-
+
6581316090 = 2351759124717
BaseRepresentation
bin1100010000100011…
…01110100111111010
3121222122220111102210
412020101232213322
5101434304103330
63005020235550
7322043156316
oct61021564772
917878814383
106581316090
112877a88208
12133809bbb6
1380b65229b
144660d0b46
15287bb48b0
hex18846e9fa

6581316090 has 32 divisors (see below), whose sum is σ = 15804264960. Its totient is φ = 1754005824.

The previous prime is 6581316061. The next prime is 6581316107. The reversal of 6581316090 is 906131856.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9589 + ... + 115128.

It is an arithmetic number, because the mean of its divisors is an integer number (493883280).

Almost surely, 26581316090 is an apocalyptic number.

6581316090 is an abundant number, since it is smaller than the sum of its proper divisors (9222948870).

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

6581316090 is a wasteful number, since it uses less digits than its factorization.

6581316090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126486.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 6581316090 is about 81125.3110317612. The cubic root of 6581316090 is about 1874.0057391752.

The spelling of 6581316090 in words is "six billion, five hundred eighty-one million, three hundred sixteen thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 1759 3518 5277 8795 10554 17590 26385 52770 124717 249434 374151 623585 748302 1247170 1870755 3741510 219377203 438754406 658131609 1096886015 1316263218 2193772030 3290658045 6581316090