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6066050060 = 2257229461463
BaseRepresentation
bin1011010011001000…
…01001010000001100
3120122202100021022202
411221210021100030
544410402100220
62441532301032
7303215401100
oct55144112014
916582307282
106066050060
112633144214
121213611778
13758983745
144178c3900
15257833275
hex16990940c

6066050060 has 144 divisors (see below), whose sum is σ = 15395909760. Its totient is φ = 1999388160.

The previous prime is 6066050057. The next prime is 6066050071. The reversal of 6066050060 is 600506606.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13101389 + ... + 13101851.

It is an arithmetic number, because the mean of its divisors is an integer number (106916040).

Almost surely, 26066050060 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 6066050060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697954880).

6066050060 is an abundant number, since it is smaller than the sum of its proper divisors (9329859700).

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

6066050060 is a wasteful number, since it uses less digits than its factorization.

6066050060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 6066050060 is about 77884.8512870122. The cubic root of 6066050060 is about 1823.7641032488.

Adding to 6066050060 its reverse (600506606), we get a palindrome (6666556666).

The spelling of 6066050060 in words is "six billion, sixty-six million, fifty thousand, sixty", and thus it is an eban number.

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 461 463 490 580 812 922 926 980 1015 1421 1844 1852 2030 2305 2315 2842 3227 3241 4060 4610 4630 5684 6454 6482 7105 9220 9260 12908 12964 13369 13427 14210 16135 16205 22589 22687 26738 26854 28420 32270 32410 45178 45374 53476 53708 64540 64820 66845 67135 90356 90748 93583 93989 112945 113435 133690 134270 187166 187978 213443 225890 226870 267380 268540 374332 375956 426886 451780 453740 467915 469945 655081 657923 853772 935830 939890 1067215 1310162 1315846 1494101 1871660 1879780 2134430 2620324 2631692 2988202 3275405 3289615 4268860 5976404 6189847 6550810 6579230 7470505 10458707 12379694 13101620 13158460 14941010 20917414 24759388 29882020 30949235 41834828 43328929 52293535 61898470 86657858 104587070 123796940 173315716 209174140 216644645 303302503 433289290 606605006 866578580 1213210012 1516512515 3033025030 6066050060