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41055727560 = 23358316724683
BaseRepresentation
bin100110001111000111…
…001010111111001000
310220222020121001110020
4212033013022333020
51133040231240220
630505530420440
72652253632501
oct461707127710
9126866531406
1041055727560
1116458984861
127b59591720
133b43a01b23
141db68a3ba8
151104525040
hex98f1cafc8

41055727560 has 128 divisors (see below), whose sum is σ = 125402618880. Its totient is φ = 10751084288.

The previous prime is 41055727553. The next prime is 41055727597. The reversal of 41055727560 is 6572755014.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1650979 + ... + 1675661.

It is an arithmetic number, because the mean of its divisors is an integer number (979707960).

Almost surely, 241055727560 is an apocalyptic number.

41055727560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41055727560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62701309440).

41055727560 is an abundant number, since it is smaller than the sum of its proper divisors (84346891320).

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

41055727560 is a wasteful number, since it uses less digits than its factorization.

41055727560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24947 (or 24943 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 41055727560 in words is "forty-one billion, fifty-five million, seven hundred twenty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 167 249 332 334 415 498 501 664 668 830 835 996 1002 1245 1336 1660 1670 1992 2004 2490 2505 3320 3340 4008 4980 5010 6680 9960 10020 13861 20040 24683 27722 41583 49366 55444 69305 74049 83166 98732 110888 123415 138610 148098 166332 197464 207915 246830 277220 296196 332664 370245 415830 493660 554440 592392 740490 831660 987320 1480980 1663320 2048689 2961960 4097378 4122061 6146067 8194756 8244122 10243445 12292134 12366183 16389512 16488244 20486890 20610305 24584268 24732366 30730335 32976488 40973780 41220610 49168536 49464732 61460670 61830915 81947560 82441220 98929464 122921340 123661830 164882440 245842680 247323660 342131063 494647320 684262126 1026393189 1368524252 1710655315 2052786378 2737048504 3421310630 4105572756 5131965945 6842621260 8211145512 10263931890 13685242520 20527863780 41055727560