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6497004816 = 243422392
BaseRepresentation
bin1100000110100000…
…00110110100010000
3121202210021001010000
412003100012310100
5101301213123231
62552405210000
7320000426001
oct60320066420
917683231100
106497004816
112834431975
121313a00900
137c7042763
14458c251a8
152805ad6e6
hex183406d10

6497004816 has 75 divisors (see below), whose sum is σ = 18812619111. Its totient is φ = 2164701024.

The previous prime is 6497004803. The next prime is 6497004823. The reversal of 6497004816 is 6184007946.

The square root of 6497004816 is 80604.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×64970048162 = 84422143158254387712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2900625 + ... + 2902863.

Almost surely, 26497004816 is an apocalyptic number.

6497004816 is the 80604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6497004816

6497004816 is an abundant number, since it is smaller than the sum of its proper divisors (12315614295).

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

6497004816 is an frugal number, since it uses more digits than its factorization.

6497004816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 6497004816 is about 1865.9688790418.

The spelling of 6497004816 in words is "six billion, four hundred ninety-seven million, four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2239 4478 6717 8956 13434 17912 20151 26868 35824 40302 53736 60453 80604 107472 120906 161208 181359 241812 322416 362718 483624 725436 967248 1450872 2901744 5013121 10026242 15039363 20052484 30078726 40104968 45118089 60157452 80209936 90236178 120314904 135354267 180472356 240629808 270708534 360944712 406062801 541417068 721889424 812125602 1082834136 1624251204 2165668272 3248502408 6497004816