Search a number
-
+
8181210505 = 5136113715061
BaseRepresentation
bin1111001111010001…
…10101110110001001
3210010011101112222111
413213220311312021
5113223342214010
63431451422321
7406511066446
oct74750656611
923104345874
108181210505
1135190975a6
121703a549a1
13a04c4bc80
145787989cd
1532d39258a
hex1e7a35d89

8181210505 has 32 divisors (see below), whose sum is σ = 10825119648. Its totient is φ = 5898700800.

The previous prime is 8181210467. The next prime is 8181210553. The reversal of 8181210505 is 5050121818.

It can be written as a sum of positive squares in 16 ways, for example, as 3975428601 + 4205781904 = 63051^2 + 64852^2 .

It is not a de Polignac number, because 8181210505 - 213 = 8181202313 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is an unprimeable number.

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, 535675 + ... + 550735.

It is an arithmetic number, because the mean of its divisors is an integer number (338284989).

Almost surely, 28181210505 is an apocalyptic number.

It is an amenable number.

8181210505 is a deficient number, since it is larger than the sum of its proper divisors (2643909143).

8181210505 is a wasteful number, since it uses less digits than its factorization.

8181210505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15277.

The product of its (nonzero) digits is 3200, while the sum is 31.

The square root of 8181210505 is about 90450.0442509566. The cubic root of 8181210505 is about 2014.9882706967.

The spelling of 8181210505 in words is "eight billion, one hundred eighty-one million, two hundred ten thousand, five hundred five".

Divisors: 1 5 13 61 65 137 305 685 793 1781 3965 8357 8905 15061 41785 75305 108641 195793 543205 918721 978965 2063357 4593605 10316785 11943373 26823641 59716865 125864777 134118205 629323885 1636242101 8181210505