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5680816812 = 223211193239311
BaseRepresentation
bin1010100101001101…
…00110001010101100
3112122220110101122200
411102212212022230
543113242114222
62335411341500
7260530101066
oct52246461254
915586411580
105680816812
112455744830
1211265b1890
136c6c12588
143bc684736
15233ad9eac
hex1529a62ac

5680816812 has 144 divisors (see below), whose sum is σ = 15863178240. Its totient is φ = 1699891200.

The previous prime is 5680816777. The next prime is 5680816871. The reversal of 5680816812 is 2186180865.

5680816812 is a `hidden beast` number, since 568 + 0 + 8 + 1 + 6 + 81 + 2 = 666.

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, 18266137 + ... + 18266447.

It is an arithmetic number, because the mean of its divisors is an integer number (110160960).

Almost surely, 25680816812 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 5680816812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931589120).

5680816812 is an abundant number, since it is smaller than the sum of its proper divisors (10182361428).

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

5680816812 is a wasteful number, since it uses less digits than its factorization.

5680816812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5680816812 is about 75371.1935158254. The cubic root of 5680816812 is about 1784.3098035409.

The spelling of 5680816812 in words is "five billion, six hundred eighty million, eight hundred sixteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 193 198 239 311 386 396 478 579 622 717 772 933 956 1158 1244 1434 1737 1866 2123 2151 2316 2629 2799 2868 3421 3474 3732 4246 4302 5258 5598 6369 6842 6948 7887 8492 8604 10263 10516 11196 12738 13684 15774 19107 20526 23661 25476 30789 31548 38214 41052 46127 47322 60023 61578 74329 76428 92254 94644 120046 123156 138381 148658 180069 184508 222987 240092 276762 297316 360138 415143 445974 507397 540207 553524 660253 668961 720276 817619 830286 891948 1014794 1080414 1320506 1337922 1522191 1635238 1660572 1980759 2029588 2160828 2452857 2641012 2675844 3044382 3270476 3961518 4566573 4905714 5942277 6088764 7358571 7923036 9133146 9811428 11884554 14345497 14717142 18266292 23769108 28690994 29434284 43036491 57381988 86072982 129109473 157800467 172145964 258218946 315600934 473401401 516437892 631201868 946802802 1420204203 1893605604 2840408406 5680816812