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5666015000 = 235417191349
BaseRepresentation
bin1010100011011100…
…01000011100011000
3112121212121101101102
411101232020130120
543100444440000
62334122210532
7260260222112
oct52156103430
915555541342
105666015000
112448354a28
121121653a48
136c3b2c1c9
143ba7103b2
152326643d5
hex151b88718

5666015000 has 160 divisors (see below), whose sum is σ = 14170464000. Its totient is φ = 2115840000.

The previous prime is 5666014993. The next prime is 5666015029. The reversal of 5666015000 is 5106665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16234826 + ... + 16235174.

It is an arithmetic number, because the mean of its divisors is an integer number (88565400).

Almost surely, 25666015000 is an apocalyptic number.

5666015000 is a gapful number since it is divisible by the number (50) 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 5666015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085232000).

5666015000 is an abundant number, since it is smaller than the sum of its proper divisors (8504449000).

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

5666015000 is a wasteful number, since it uses less digits than its factorization.

5666015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 5666015000 is about 75272.9367037051. The cubic root of 5666015000 is about 1782.7587360884.

The spelling of 5666015000 in words is "five billion, six hundred sixty-six million, fifteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 191 200 250 340 349 382 425 500 625 680 698 764 850 955 1000 1250 1396 1528 1700 1745 1910 2125 2500 2792 3247 3400 3490 3820 4250 4775 5000 5933 6494 6980 7640 8500 8725 9550 10625 11866 12988 13960 16235 17000 17450 19100 21250 23732 23875 25976 29665 32470 34900 38200 42500 43625 47464 47750 59330 64940 66659 69800 81175 85000 87250 95500 118660 119375 129880 133318 148325 162350 174500 191000 218125 237320 238750 266636 296650 324700 333295 349000 405875 436250 477500 533272 593300 649400 666590 741625 811750 872500 955000 1133203 1186600 1333180 1483250 1623500 1666475 1745000 2029375 2266406 2666360 2966500 3247000 3332950 3708125 4058750 4532812 5666015 5933000 6665900 7416250 8117500 8332375 9065624 11332030 13331800 14832500 16235000 16664750 22664060 28330075 29665000 33329500 41661875 45328120 56660150 66659000 83323750 113320300 141650375 166647500 226640600 283300750 333295000 566601500 708251875 1133203000 1416503750 2833007500 5666015000