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41325911964 = 2234538292903
BaseRepresentation
bin100110011111001101…
…110101111110011100
310221200001222211210000
4212133031311332130
51134113413140324
630552421414300
72662044312231
oct463715657634
9127601884700
1041325911964
1116587444357
128013b6a390
133b8799085c
142000715788
15111d0e49c9
hex99f375f9c

41325911964 has 120 divisors (see below), whose sum is σ = 110243216160. Its totient is φ = 13494439296.

The previous prime is 41325911947. The next prime is 41325911989. The reversal of 41325911964 is 46911952314.

41325911964 is a `hidden beast` number, since 41 + 3 + 2 + 591 + 19 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14234137 + ... + 14237039.

It is an arithmetic number, because the mean of its divisors is an integer number (918693468).

Almost surely, 241325911964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41325911964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121608080).

41325911964 is an abundant number, since it is smaller than the sum of its proper divisors (68917304196).

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

41325911964 is a wasteful number, since it uses less digits than its factorization.

41325911964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3790 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 41325911964 in words is "forty-one billion, three hundred twenty-five million, nine hundred eleven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 829 954 1431 1658 1908 2487 2862 2903 3316 4293 4974 5724 5806 7461 8586 8709 9948 11612 14922 17172 17418 22383 26127 29844 34836 43937 44766 52254 67149 78381 87874 89532 104508 131811 134298 153859 156762 175748 235143 263622 268596 307718 313524 395433 461577 470286 527244 615436 790866 923154 940572 1186299 1384731 1581732 1846308 2372598 2406587 2769462 3558897 4154193 4745196 4813174 5538924 7117794 7219761 8308386 9626348 12462579 14235588 14439522 16616772 21659283 24925158 28879044 43318566 49850316 64977849 86637132 127549111 129955698 194933547 255098222 259911396 382647333 389867094 510196444 765294666 779734188 1147941999 1530589332 2295883998 3443825997 4591767996 6887651994 10331477991 13775303988 20662955982 41325911964