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41906842635560 = 2357246146379701
BaseRepresentation
bin10011000011101001100100…
…11110000000110100101000
312111101020212220202102101112
421201310302132000310220
520443100203203314220
6225043423203405452
711553445425031100
oct1141646236006450
9174336786672345
1041906842635560
1112397657182171
1248499b0983888
131a4ca4bb48386
14a4c4329c0200
154ca15e5925c5
hex261d32780d28

41906842635560 has 96 divisors (see below), whose sum is σ = 109922676522120. Its totient is φ = 14336892864000.

The previous prime is 41906842635557. The next prime is 41906842635569. The reversal of 41906842635560 is 6553624860914.

It can be written as a sum of positive squares in 4 ways, for example, as 31031740336996 + 10875102298564 = 5570614^2 + 3297742^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41906842635560.

It is not an unprimeable number, because it can be changed into a prime (41906842635569) 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 23 ways as a sum of consecutive naturals, for example, 22286291 + ... + 24093410.

Almost surely, 241906842635560 is an apocalyptic number.

41906842635560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41906842635560 is an abundant number, since it is smaller than the sum of its proper divisors (68015833886560).

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

41906842635560 is a wasteful number, since it uses less digits than its factorization.

41906842635560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46380187 (or 46380176 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 59.

The spelling of 41906842635560 in words is "forty-one trillion, nine hundred six billion, eight hundred forty-two million, six hundred thirty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 461 490 922 980 1844 1960 2305 3227 3688 4610 6454 9220 12908 16135 18440 22589 25816 32270 45178 64540 90356 112945 129080 180712 225890 451780 903560 46379701 92759402 185518804 231898505 324657907 371037608 463797010 649315814 927594020 1298631628 1623289535 1855188040 2272605349 2597263256 3246579070 4545210698 6493158140 9090421396 11363026745 12986316280 18180842792 21381042161 22726053490 42762084322 45452106980 85524168644 90904213960 106905210805 149667295127 171048337288 213810421610 299334590254 427620843220 598669180508 748336475635 855241686440 1047671065889 1197338361016 1496672951270 2095342131778 2993345902540 4190684263556 5238355329445 5986691805080 8381368527112 10476710658890 20953421317780 41906842635560