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41151310195992 = 23319837573143573
BaseRepresentation
bin10010101101101010010010…
…01110011110110100011000
312101201000201120011210200120
421112311021032132310120
520343210340402232432
6223304352333233240
711445040554201303
oct1126651116366430
9171630646153616
1041151310195992
111212619987a817
124747496632820
1319c67236aa549
14a23a3c2c9b3a
154b56900b8c2c
hex256d4939ed18

41151310195992 has 128 divisors (see below), whose sum is σ = 109612891180800. Its totient is φ = 12836797788672.

The previous prime is 41151310195969. The next prime is 41151310195993. The reversal of 41151310195992 is 29959101315114.

41151310195992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41151310195993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286551118 + ... + 286694690.

It is an arithmetic number, because the mean of its divisors is an integer number (856350712350).

Almost surely, 241151310195992 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 41151310195992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54806445590400).

41151310195992 is an abundant number, since it is smaller than the sum of its proper divisors (68461580984808).

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

41151310195992 is a wasteful number, since it uses less digits than its factorization.

41151310195992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151257 (or 151253 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 51.

The spelling of 41151310195992 in words is "forty-one trillion, one hundred fifty-one billion, three hundred ten million, one hundred ninety-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 83 114 152 166 228 249 332 456 498 664 996 1577 1992 3154 4731 6308 7573 9462 12616 15146 18924 22719 30292 37848 45438 60584 90876 143573 143887 181752 287146 287774 430719 431661 574292 575548 628559 861438 863322 1148584 1151096 1257118 1722876 1726644 1885677 2514236 2727887 3445752 3453288 3771354 5028472 5455774 7542708 8183661 10911548 11916559 11942621 15085416 16367322 21823096 23833118 23885242 32734644 35749677 35827863 47666236 47770484 65469288 71499354 71655726 95332472 95540968 142998708 143311452 226414621 285997416 286622904 452829242 679243863 905658484 1087278329 1358487726 1811316968 2174556658 2716975452 3261834987 4349113316 5433950904 6523669974 8698226632 13047339948 20658288251 26094679896 41316576502 61974864753 82633153004 90244101307 123949729506 165266306008 180488202614 247899459012 270732303921 360976405228 495798918024 541464607842 721952810456 1082929215684 1714637924833 2165858431368 3429275849666 5143913774499 6858551699332 10287827548998 13717103398664 20575655097996 41151310195992