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8105289660 = 22325138214219
BaseRepresentation
bin1111000110001110…
…01110011110111100
3202220212112101011100
413203013032132330
5113044423232120
63420140253100
7404566553046
oct74307163674
922825471140
108105289660
11348a2520a6
1216a2541190
139c22b94b0
1456c674a96
15326897490
hex1e31ce7bc

8105289660 has 144 divisors (see below), whose sum is σ = 26515812960. Its totient is φ = 1992245760.

The previous prime is 8105289653. The next prime is 8105289757. The reversal of 8105289660 is 669825018.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919031 + ... + 1923249.

It is an arithmetic number, because the mean of its divisors is an integer number (184137590).

Almost surely, 28105289660 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 8105289660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13257906480).

8105289660 is an abundant number, since it is smaller than the sum of its proper divisors (18410523300).

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

8105289660 is a wasteful number, since it uses less digits than its factorization.

8105289660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8105289660 is about 90029.3822038117. The cubic root of 8105289660 is about 2008.7359245863.

The spelling of 8105289660 in words is "eight billion, one hundred five million, two hundred eighty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 821 1170 1642 2340 2463 3284 4105 4219 4926 7389 8210 8438 9852 10673 12315 12657 14778 16420 16876 21095 21346 24630 25314 29556 32019 36945 37971 42190 42692 49260 50628 53365 54847 63285 64038 73890 75942 84380 96057 106730 109694 126570 128076 147780 151884 160095 164541 189855 192114 213460 219388 253140 274235 320190 329082 379710 384228 480285 493623 548470 640380 658164 759420 822705 960570 987246 1096940 1645410 1921140 1974492 2468115 3290820 3463799 4936230 6927598 9872460 10391397 13855196 17318995 20782794 31174191 34637990 41565588 45029387 51956985 62348382 69275980 90058774 103913970 124696764 135088161 155870955 180117548 207827940 225146935 270176322 311741910 405264483 450293870 540352644 623483820 675440805 810528966 900587740 1350881610 1621057932 2026322415 2701763220 4052644830 8105289660