Search a number
-
+
5011611066 = 2327116415641
BaseRepresentation
bin1001010101011011…
…10001110110111010
3110221021020012221200
410222231301312322
540230433023231
62145144115030
7235122663660
oct45255616672
913837205850
105011611066
112141a18630
12b7a465a76
1361b395847
14357844c30
151e4e9bbe6
hex12ab71dba

5011611066 has 96 divisors (see below), whose sum is σ = 13561382016. Its totient is φ = 1299456000.

The previous prime is 5011611053. The next prime is 5011611071. The reversal of 5011611066 is 6601161105.

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 47 ways as a sum of consecutive naturals, for example, 885606 + ... + 891246.

It is an arithmetic number, because the mean of its divisors is an integer number (141264396).

Almost surely, 25011611066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5011611066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780691008).

5011611066 is an abundant number, since it is smaller than the sum of its proper divisors (8549770950).

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

5011611066 is a wasteful number, since it uses less digits than its factorization.

5011611066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 5011611066 is about 70792.7331440170. The cubic root of 5011611066 is about 1711.2985663078.

The spelling of 5011611066 in words is "five billion, eleven million, six hundred eleven thousand, sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 641 693 1282 1386 1923 3846 4487 5641 5769 7051 8974 11282 11538 13461 14102 16923 21153 26922 33846 39487 40383 42306 49357 50769 62051 63459 78974 80766 98714 101538 118461 124102 126918 148071 186153 236922 296142 355383 372306 434357 444213 558459 710766 868714 888426 1116918 1303071 2606142 3615881 3909213 7231762 7818426 10847643 21695286 25311167 32542929 39774691 50622334 65085858 75933501 79549382 119324073 151867002 227800503 238648146 278422837 357972219 455601006 556845674 715944438 835268511 1670537022 2505805533 5011611066