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8066499012 = 223211131639613
BaseRepresentation
bin1111000001100110…
…10000000111000100
3202211011112121101200
413200303100013010
5113010010432022
63412233022500
7403616052555
oct74063200704
922734477350
108066499012
11346a368110
121691554a30
139b7257250
1456745832c
15323283bac
hex1e0cd01c4

8066499012 has 144 divisors (see below), whose sum is σ = 24104528448. Its totient is φ = 2242287360.

The previous prime is 8066498971. The next prime is 8066499047. The reversal of 8066499012 is 2109946608.

It is a happy number.

It is a super-2 number, since 2×80664990122 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834318 + ... + 843930.

Almost surely, 28066499012 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 8066499012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052264224).

8066499012 is an abundant number, since it is smaller than the sum of its proper divisors (16038029436).

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

8066499012 is a wasteful number, since it uses less digits than its factorization.

8066499012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8066499012 is about 89813.6905599586. The cubic root of 8066499012 is about 2005.5263002716.

The spelling of 8066499012 in words is "eight billion, sixty-six million, four hundred ninety-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 163 198 234 286 326 396 429 468 489 572 652 858 978 1287 1467 1716 1793 1956 2119 2574 2934 3586 4238 5148 5379 5868 6357 7172 8476 9613 10758 12714 16137 19071 19226 21516 23309 25428 28839 32274 38142 38452 46618 57678 64548 69927 76284 86517 93236 105743 115356 124969 139854 173034 209781 211486 249938 279708 317229 346068 374907 419562 422972 499876 634458 749814 839124 951687 1124721 1268916 1374659 1499628 1566919 1903374 2249442 2749318 3133838 3806748 4123977 4498884 4700757 5498636 6267676 8247954 9401514 12371931 14102271 16495908 17236109 18803028 20369947 24743862 28204542 34472218 40739894 49487724 51708327 56409084 61109841 68944436 81479788 103416654 122219682 155124981 183329523 206833308 224069417 244439364 310249962 366659046 448138834 620499924 672208251 733318092 896277668 1344416502 2016624753 2688833004 4033249506 8066499012