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6004471668 = 22313434392039
BaseRepresentation
bin1011001011110010…
…01111011101110100
3120111110110202122120
411211321033131310
544244121043133
62431452355540
7301540111206
oct54571173564
916443422576
106004471668
112601405488
1211b6a75bb0
13748ca3220
1440d654776
1525221cab3
hex165e4f774

6004471668 has 96 divisors (see below), whose sum is σ = 15481804800. Its totient is φ = 1799570304.

The previous prime is 6004471657. The next prime is 6004471673. The reversal of 6004471668 is 8661744006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943793 + ... + 2945831.

It is an arithmetic number, because the mean of its divisors is an integer number (161268800).

Almost surely, 26004471668 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 6004471668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740902400).

6004471668 is an abundant number, since it is smaller than the sum of its proper divisors (9477333132).

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

6004471668 is a wasteful number, since it uses less digits than its factorization.

6004471668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 6004471668 is about 77488.5260409565. The cubic root of 6004471668 is about 1817.5719007345.

The spelling of 6004471668 in words is "six billion, four million, four hundred seventy-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 439 516 559 878 1118 1317 1677 1756 2039 2236 2634 3354 4078 5268 5707 6117 6708 8156 11414 12234 17121 18877 22828 24468 26507 34242 37754 53014 56631 68484 75508 79521 87677 106028 113262 159042 175354 226524 245401 263031 318084 350708 490802 526062 736203 895121 981604 1052124 1139801 1472406 1790242 2279602 2685363 2944812 3419403 3580484 4559204 5370726 6838806 10741452 11636573 13677612 23273146 34909719 38490203 46546292 69819438 76980406 115470609 139638876 153960812 230941218 461882436 500372639 1000745278 1501117917 2001490556 3002235834 6004471668