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41643452344005 = 3451727773217781
BaseRepresentation
bin10010111011111110111110…
…01011110010011011000101
312110110002000210110021110000
421131333133023302123011
520424241242300002010
6224322423215351513
711525432366345331
oct1135773713623305
9173402023407400
1041643452344005
11122a5986229766
124806943b22599
131a30c64895155
14a3d7a7a887c1
154c3395e2e7c0
hex25dfdf2f26c5

41643452344005 has 80 divisors (see below), whose sum is σ = 79044114538224. Its totient is φ = 20902531368960.

The previous prime is 41643452344001. The next prime is 41643452344049. The reversal of 41643452344005 is 50044325434614.

41643452344005 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 3 + 4 + 5 + 234 + 400 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9048647561409 + 32594804782596 = 3008097^2 + 5709186^2 .

It is not a de Polignac number, because 41643452344005 - 22 = 41643452344001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41643452344001) 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 79 ways as a sum of consecutive naturals, for example, 191108215 + ... + 191325995.

Almost surely, 241643452344005 is an apocalyptic number.

41643452344005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41643452344005 is a deficient number, since it is larger than the sum of its proper divisors (37400662194219).

41643452344005 is a wasteful number, since it uses less digits than its factorization.

41643452344005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245588 (or 245579 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 41643452344005 its reverse (50044325434614), we get a palindrome (91687777778619).

The spelling of 41643452344005 in words is "forty-one trillion, six hundred forty-three billion, four hundred fifty-two million, three hundred forty-four thousand, five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 6885 27773 83319 138865 217781 249957 416595 472141 653343 749871 1088905 1249785 1416423 1960029 2249613 2360705 3266715 3702277 3749355 4249269 5880087 7082115 9800145 11106831 11248065 12747807 17640261 18511385 21246345 29400435 33320493 38243421 55534155 63739035 88201305 99961479 166602465 191217105 299884437 499807395 1499422185 6048431713 18145295139 30242158565 54435885417 90726475695 102823339121 163307656251 272179427085 308470017363 489922968753 514116695605 816538281255 925410052089 1542350086815 2449614843765 2776230156267 4627050260445 8328690468801 13881150781335 41643452344005