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6808383516 = 22311174636553
BaseRepresentation
bin1100101011100111…
…11011000000011100
3122120111011201101110
412111303323000130
5102420421233031
63043331142020
7330501206424
oct62563730034
918514151343
106808383516
112984178340
1213a0144910
138466c57cc
1448831b484
1529cab8c46
hex195cfb01c

6808383516 has 96 divisors (see below), whose sum is σ = 18392306688. Its totient is φ = 1937295360.

The previous prime is 6808383509. The next prime is 6808383539. The reversal of 6808383516 is 6153838086.

It is a super-2 number, since 2×68083835162 = 92708172201881044512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035696 + ... + 1042248.

It is an arithmetic number, because the mean of its divisors is an integer number (191586528).

Almost surely, 26808383516 is an apocalyptic number.

6808383516 is a gapful number since it is divisible by the number (66) 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 6808383516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196153344).

6808383516 is an abundant number, since it is smaller than the sum of its proper divisors (11583923172).

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

6808383516 is a wasteful number, since it uses less digits than its factorization.

6808383516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 6808383516 is about 82512.9293868543. The cubic root of 6808383516 is about 1895.3147270257.

The spelling of 6808383516 in words is "six billion, eight hundred eight million, three hundred eighty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 463 561 748 926 1122 1389 1852 2244 2778 5093 5556 6553 7871 10186 13106 15279 15742 19659 20372 23613 26212 30558 31484 39318 47226 61116 72083 78636 86581 94452 111401 144166 173162 216249 222802 259743 288332 334203 346324 432498 445604 519486 668406 864996 1038972 1225411 1336812 2450822 3034039 3676233 4901644 6068078 7352466 9102117 12136156 14704932 18204234 33374429 36408468 51578663 66748858 100123287 103157326 133497716 154735989 200246574 206314652 309471978 400493148 567365293 618943956 1134730586 1702095879 2269461172 3404191758 6808383516