Search a number
-
+
41632240504005 = 32517443122847019
BaseRepresentation
bin10010111011101010000101…
…11010000000110011000101
312110102000002102101210100200
421131311002322000303011
520424100312032112010
6224313330503001113
711524554505313214
oct1135650272006305
9173360072353320
1041632240504005
11122a1152461398
124804735139199
131a2cb98ac92b8
14a3d0229d307b
154c2e3b997cc0
hex25dd42e80cc5

41632240504005 has 48 divisors (see below), whose sum is σ = 76579883939520. Its totient is φ = 20850578671104.

The previous prime is 41632240503949. The next prime is 41632240504009. The reversal of 41632240504005 is 50040504223614.

41632240504005 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 2 + 240 + 5 + 0 + 400 + 5 = 666.

It is not a de Polignac number, because 41632240504005 - 29 = 41632240503493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41632240504009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61084615 + ... + 61762404.

It is an arithmetic number, because the mean of its divisors is an integer number (1595414248740).

Almost surely, 241632240504005 is an apocalyptic number.

41632240504005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41632240504005 is a deficient number, since it is larger than the sum of its proper divisors (34947643435515).

41632240504005 is a wasteful number, since it uses less digits than its factorization.

41632240504005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122847490 (or 122847487 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 41632240504005 its reverse (50040504223614), we get a palindrome (91672744727619).

The spelling of 41632240504005 in words is "forty-one trillion, six hundred thirty-two billion, two hundred forty million, five hundred four thousand, five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 443 765 1329 2215 3987 6645 7531 19935 22593 37655 67779 112965 338895 122847019 368541057 614235095 1105623171 1842705285 2088399323 5528115855 6265197969 10441996615 18795593907 31325989845 54421229417 93977969535 163263688251 272106147085 489791064753 816318441255 925160900089 2448955323765 2775482700267 4625804500445 8326448100801 13877413501335 41632240504005