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41663806448166 = 23273112409744123
BaseRepresentation
bin10010111100100100111000…
…11000100010001000100110
312110112000120022021220021200
421132102130120202020212
520430104433422320131
6224340031034423330
711530052651362020
oct1136223430421046
9173460508256250
1041663806448166
1112303580626451
12480a884591b46
131a32b59732076
14a40778dc9010
154c3b87ce52e6
hex25e49c622226

41663806448166 has 96 divisors (see below), whose sum is σ = 103505889996288. Its totient is φ = 11864907025920.

The previous prime is 41663806448113. The next prime is 41663806448167. The reversal of 41663806448166 is 66184460836614.

It is a happy number.

41663806448166 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 38 + 0 + 64 + 481 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41663806448167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944242981 + ... + 944287103.

It is an arithmetic number, because the mean of its divisors is an integer number (1078186354128).

Almost surely, 241663806448166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41663806448166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51752944998144).

41663806448166 is an abundant number, since it is smaller than the sum of its proper divisors (61842083548122).

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

41663806448166 is a wasteful number, since it uses less digits than its factorization.

41663806448166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68546 (or 68543 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 41663806448166 in words is "forty-one trillion, six hundred sixty-three billion, eight hundred six million, four hundred forty-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 311 622 933 1866 2177 2799 4354 5598 6531 13062 19593 24097 39186 44123 48194 72291 88246 132369 144582 168679 216873 264738 308861 337358 397107 433746 506037 617722 794214 926583 1012074 1518111 1853166 2779749 3036222 5559498 7494167 13722253 14988334 22482501 27444506 41166759 44965002 52459169 67447503 82333518 96055771 104918338 123500277 134895006 157377507 192111542 247000554 288167313 314755014 472132521 576334626 864501939 944265042 1063231931 1729003878 2126463862 3189695793 6379391586 7442623517 9569087379 14885247034 19138174758 22327870551 44655741102 66983611653 133967223306 330665130541 661330261082 991995391623 1983990783246 2314655913787 2975986174869 4629311827574 5951972349738 6943967741361 13887935482722 20831903224083 41663806448166