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6001006050 = 23252132274519
BaseRepresentation
bin1011001011011000…
…00001010111100010
3120111012221200201100
411211230001113202
544242224143200
62431250215230
7301465465314
oct54554012742
916435850640
106001006050
1125aa458736
1211b5884516
1374835b970
1440cdd17b4
15251c85d00
hex165b015e2

6001006050 has 144 divisors (see below), whose sum is σ = 17443258560. Its totient is φ = 1470337920.

The previous prime is 6001006007. The next prime is 6001006051. The reversal of 6001006050 is 506001006.

6001006050 is a `hidden beast` number, since 60 + 0 + 1 + 0 + 0 + 605 + 0 = 666.

It is a super-2 number, since 2×60010060502 = 72024147224273205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6001006051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1325691 + ... + 1330209.

It is an arithmetic number, because the mean of its divisors is an integer number (121133740).

Almost surely, 26001006050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6001006050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721629280).

6001006050 is an abundant number, since it is smaller than the sum of its proper divisors (11442252510).

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

6001006050 is a wasteful number, since it uses less digits than its factorization.

6001006050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6001006050 is about 77466.1606767755. The cubic root of 6001006050 is about 1817.2221490547. Note that the first 3 decimals are identical.

Adding to 6001006050 its reverse (506001006), we get a palindrome (6507007056).

The spelling of 6001006050 in words is "six billion, one million, six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 227 234 325 390 450 454 585 650 681 975 1135 1170 1362 1950 2043 2270 2925 2951 3405 4086 4519 5675 5850 5902 6810 8853 9038 10215 11350 13557 14755 17025 17706 20430 22595 26559 27114 29510 34050 40671 44265 45190 51075 53118 58747 67785 73775 81342 88530 102150 112975 117494 132795 135570 147550 176241 203355 221325 225950 265590 293735 338925 352482 406710 442650 528723 587470 663975 677850 881205 1016775 1025813 1057446 1327950 1468675 1762410 2033550 2051626 2643615 2937350 3077439 4406025 5129065 5287230 6154878 8812050 9232317 10258130 13218075 13335569 15387195 18464634 25645325 26436150 26671138 30774390 40006707 46161585 51290650 66677845 76935975 80013414 92323170 120020121 133355690 153871950 200033535 230807925 240040242 333389225 400067070 461615850 600100605 666778450 1000167675 1200201210 2000335350 3000503025 6001006050