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41481697749975 = 3352744411976851
BaseRepresentation
bin10010110111010001101011…
…10110111110101111010111
312102212121111211122111221000
421123220311312332233113
520414114004110444400
6224120232345154343
711510645066106540
oct1133506566765727
9172777454574830
1041481697749975
111224331aa5509a
12479b52078b9b3
131a1b926c75812
14a35a2111b4c7
154be07a407600
hex25ba35dbebd7

41481697749975 has 96 divisors (see below), whose sum is σ = 87109271713280. Its totient is φ = 18958782240000.

The previous prime is 41481697749971. The next prime is 41481697749977. The reversal of 41481697749975 is 57994779618414.

It is a happy number.

41481697749975 is a `hidden beast` number, since 4 + 1 + 48 + 16 + 9 + 7 + 7 + 499 + 75 = 666.

It is not a de Polignac number, because 41481697749975 - 22 = 41481697749971 is a prime.

It is a super-2 number, since 2×414816977499752 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41481697749894 and 41481697749903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41481697749971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19995300 + ... + 21972150.

Almost surely, 241481697749975 is an apocalyptic number.

41481697749975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41481697749975 is an abundant number, since it is smaller than the sum of its proper divisors (45627573963305).

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

41481697749975 is a wasteful number, since it uses less digits than its factorization.

41481697749975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981318 (or 1981307 counting only the distinct ones).

The product of its digits is 3840721920, while the sum is 81.

The spelling of 41481697749975 in words is "forty-one trillion, four hundred eighty-one billion, six hundred ninety-seven million, seven hundred forty-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4441 4725 13323 22205 31087 39969 66615 93261 111025 119907 155435 199845 279783 333075 466305 599535 777175 839349 999225 1398915 1976851 2331525 2997675 4196745 5930553 6994575 9884255 13837957 17791659 20983725 29652765 41513871 49421275 53374977 69189785 88958295 124541613 148263825 207569355 266874885 345948925 373624839 444791475 622708065 1037846775 1334374425 1868124195 3113540325 8779195291 9340620975 26337585873 43895976455 61454367037 79012757619 131687929365 184363101111 219479882275 237038272857 307271835185 395063788095 553089303333 658439646825 921815505555 1185191364285 1536359175925 1659267909999 1975318940475 2765446516665 4609077527775 5925956821425 8296339549995 13827232583325 41481697749975