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41566541305068 = 2232131716213223043
BaseRepresentation
bin10010111001101111101101…
…11011011101010011101100
312110011201111201202200102100
421130313312323131103230
520422011234033230233
6224223223325055100
711520040433324163
oct1134676673352354
9173151451680370
1041566541305068
11122762a8a2486a
1247b3a5a6b7490
131a269286c1960
14a39b8d2723da
154c1393c28813
hex25cdf6edd4ec

41566541305068 has 144 divisors (see below), whose sum is σ = 119883390602976. Its totient is φ = 12029939804160.

The previous prime is 41566541305067. The next prime is 41566541305117. The reversal of 41566541305068 is 86050314566514.

41566541305068 is a `hidden beast` number, since 4 + 1 + 5 + 6 + 6 + 541 + 30 + 5 + 0 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (41566541305067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11285155 + ... + 14508197.

It is an arithmetic number, because the mean of its divisors is an integer number (832523545854).

Almost surely, 241566541305068 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 41566541305068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59941695301488).

41566541305068 is an abundant number, since it is smaller than the sum of its proper divisors (78316849297908).

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

41566541305068 is a wasteful number, since it uses less digits than its factorization.

41566541305068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224704 (or 3224699 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 41566541305068 in words is "forty-one trillion, five hundred sixty-six billion, five hundred forty-one million, three hundred five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1621 1989 2652 3242 3978 4863 6484 7956 9726 14589 19452 21073 27557 29178 42146 55114 58356 63219 82671 84292 110228 126438 165342 189657 248013 252876 330684 358241 379314 496026 716482 758628 992052 1074723 1432964 2149446 3223043 3224169 4298892 6446086 6448338 9669129 12892172 12896676 19338258 29007387 38676516 41899559 54791731 58014774 83799118 109583462 116029548 125698677 164375193 167598236 219166924 251397354 328750386 377096031 493125579 502794708 657500772 712292503 754192062 986251158 1424585006 1508384124 1972502316 2136877509 2849170012 4273755018 5224552703 6410632527 8547510036 10449105406 12821265054 15673658109 20898210812 25642530108 31347316218 47020974327 62694632436 67919185139 88817395951 94041948654 135838370278 177634791902 188083897308 203757555417 266452187853 271676740556 355269583804 407515110834 532904375706 611272666251 799356563559 815030221668 1065808751412 1154626147363 1222545332502 1598713127118 2309252294726 2445090665004 3197426254236 3463878442089 4618504589452 6927756884178 10391635326267 13855513768356 20783270652534 41566541305068