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6105066066 = 234117173661
BaseRepresentation
bin1011010111110001…
…11110101001010010
3120202110202111020000
411223320332221102
5100000344103231
62445444430430
7304201130301
oct55370765122
916673674200
106105066066
112653172550
1212246a8416
13763a94438
1441cb5c438
1525ae8d6e6
hex16be3ea52

6105066066 has 160 divisors (see below), whose sum is σ = 15364204416. Its totient is φ = 1796256000.

The previous prime is 6105066041. The next prime is 6105066067. The reversal of 6105066066 is 6606605016.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6105066066.

It is not an unprimeable number, because it can be changed into a prime (6105066067) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9235776 + ... + 9236436.

Almost surely, 26105066066 is an apocalyptic number.

6105066066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105066066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682102208).

6105066066 is an abundant number, since it is smaller than the sum of its proper divisors (9259138350).

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

6105066066 is a wasteful number, since it uses less digits than its factorization.

6105066066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6105066066 is about 78134.9221923206. The cubic root of 6105066066 is about 1827.6658173284.

The spelling of 6105066066 in words is "six billion, one hundred five million, sixty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 73 81 99 142 146 162 198 213 219 297 426 438 594 639 657 661 781 803 891 1278 1314 1322 1562 1606 1782 1917 1971 1983 2343 2409 3834 3942 3966 4686 4818 5183 5751 5913 5949 7029 7227 7271 10366 11502 11826 11898 14058 14454 14542 15549 17847 21087 21681 21813 31098 35694 42174 43362 43626 46647 46931 48253 53541 57013 63261 65043 65439 93294 93862 96506 107082 114026 126522 130086 130878 139941 140793 144759 171039 196317 279882 281586 289518 342078 392634 419823 422379 434277 513117 516241 530783 588951 839646 844758 868554 1026234 1032482 1061566 1177902 1267137 1302831 1539351 1548723 1592349 2534274 2605662 3078702 3097446 3184698 3425963 3801411 3908493 4618053 4646169 4777047 6851926 7602822 7816986 9236106 9292338 9554094 10277889 13938507 14331141 20555778 27877014 28662282 30833667 37685593 41815521 42993423 61667334 75371186 83631042 85986846 92501001 113056779 185002002 226113558 277503003 339170337 555006006 678340674 1017511011 2035022022 3052533033 6105066066