Search a number
-
+
6066165630 = 2357971931543
BaseRepresentation
bin1011010011001001…
…00101011101111110
3120122202120010212010
411221210211131332
544410414300010
62441534552050
7303216362040
oct55144453576
916582503763
106066165630
112633213028
121213668626
137589c4225
14417913a90
15257857620
hex16992577e

6066165630 has 128 divisors (see below), whose sum is σ = 16908208128. Its totient is φ = 1364262912.

The previous prime is 6066165583. The next prime is 6066165647. The reversal of 6066165630 is 365616606.

It is a Curzon number.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 3930639 + ... + 3932181.

It is an arithmetic number, because the mean of its divisors is an integer number (132095376).

Almost surely, 26066165630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066165630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8454104064).

6066165630 is an abundant number, since it is smaller than the sum of its proper divisors (10842042498).

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

6066165630 is a wasteful number, since it uses less digits than its factorization.

6066165630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850.

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 6066165630 is about 77885.5932120954. The cubic root of 6066165630 is about 1823.7756852545.

The spelling of 6066165630 in words is "six billion, sixty-six million, one hundred sixty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 193 194 210 291 386 485 579 582 679 965 970 1158 1351 1358 1455 1543 1930 2037 2702 2895 2910 3086 3395 4053 4074 4629 5790 6755 6790 7715 8106 9258 10185 10801 13510 15430 18721 20265 20370 21602 23145 32403 37442 40530 46290 54005 56163 64806 93605 108010 112326 131047 149671 162015 187210 262094 280815 297799 299342 324030 393141 449013 561630 595598 655235 748355 786282 893397 898026 1047697 1310470 1488995 1496710 1786794 1965705 2084593 2095394 2245065 2977990 3143091 3931410 4169186 4466985 4490130 5238485 6253779 6286182 8933970 10422965 10476970 12507558 15715455 20845930 28886503 31268895 31430910 57773006 62537790 86659509 144432515 173319018 202205521 288865030 404411042 433297545 606616563 866595090 1011027605 1213233126 2022055210 3033082815 6066165630