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41105463664 = 24192115091259
BaseRepresentation
bin100110010010000100…
…111001100101110000
310221002201011220120011
4212102010321211300
51133140444314124
630514504424304
72653426450636
oct462204714560
9127081156504
1041105463664
1116483a65281
127b72178094
133b510c7085
141dbd32d356
151108a9b994
hex992139970

41105463664 has 80 divisors (see below), whose sum is σ = 84463344000. Its totient is φ = 19325295360.

The previous prime is 41105463653. The next prime is 41105463671. The reversal of 41105463664 is 46636450114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32648667 + ... + 32649925.

It is an arithmetic number, because the mean of its divisors is an integer number (1055791800).

Almost surely, 241105463664 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 41105463664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42231672000).

41105463664 is an abundant number, since it is smaller than the sum of its proper divisors (43357880336).

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

41105463664 is a wasteful number, since it uses less digits than its factorization.

41105463664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 41105463664 in words is "forty-one billion, one hundred five million, four hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 211 304 422 509 844 1018 1259 1688 2036 2518 3376 4009 4072 5036 8018 8144 9671 10072 16036 19342 20144 23921 32072 38684 47842 64144 77368 95684 107399 154736 191368 214798 265649 382736 429596 531298 640831 859192 1062596 1281662 1718384 2040581 2125192 2563324 4081162 4250384 5047331 5126648 8162324 10094662 10253296 12175789 16324648 20189324 24351578 32649296 40378648 48703156 80757296 97406312 135215341 194812624 270430682 540861364 1081722728 2163445456 2569091479 5138182958 10276365916 20552731832 41105463664