Search a number
-
+
5566671964 = 22717891011301
BaseRepresentation
bin1010010111100110…
…01010110001011100
3112100221200020100201
411023303022301130
542400032000324
62320213033244
7254642634220
oct51363126134
915327606321
105566671964
1123a7272047
1210b4325824
136a9388749
143ab450780
15228a8e444
hex14bccac5c

5566671964 has 96 divisors (see below), whose sum is σ = 12047978880. Its totient is φ = 2196480000.

The previous prime is 5566671959. The next prime is 5566671983. The reversal of 5566671964 is 4691766655.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 4278114 + ... + 4279414.

It is an arithmetic number, because the mean of its divisors is an integer number (125499780).

Almost surely, 25566671964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5566671964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023989440).

5566671964 is an abundant number, since it is smaller than the sum of its proper divisors (6481306916).

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

5566671964 is a wasteful number, since it uses less digits than its factorization.

5566671964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1517 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

The square root of 5566671964 is about 74610.1331187661. The cubic root of 5566671964 is about 1772.2781229430.

The spelling of 5566671964 in words is "five billion, five hundred sixty-six million, six hundred seventy-one thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 89 101 119 178 202 238 356 404 476 623 707 1246 1301 1414 1513 1717 2492 2602 2828 3026 3434 5204 6052 6868 8989 9107 10591 12019 17978 18214 21182 22117 24038 35956 36428 42364 44234 48076 62923 88468 115789 125846 131401 152813 154819 231578 251692 262802 305626 309638 463156 525604 611252 619276 810523 919807 1069691 1621046 1839614 1968413 2139382 2233817 3242092 3679228 3936826 4278764 4467634 7873652 8935268 11694689 13778891 15636719 23389378 27557782 31273438 46778756 55115564 62546876 81862823 163725646 198809713 327451292 397619426 795238852 1391667991 2783335982 5566671964