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6405381408 = 25366722723
BaseRepresentation
bin1011111011100101…
…00101110100100000
3121112101212002102110
411331302211310200
5101104234201113
62535333315320
7314505562236
oct57562456440
917471762373
106405381408
112797741948
1212a9195b40
137b107291a
1444a9b4956
15277510bc3
hex17dca5d20

6405381408 has 24 divisors (see below), whose sum is σ = 16814126448. Its totient is φ = 2135127104.

The previous prime is 6405381379. The next prime is 6405381419. The reversal of 6405381408 is 8041835046.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 33361266 + ... + 33361457.

It is an arithmetic number, because the mean of its divisors is an integer number (700588602).

Almost surely, 26405381408 is an apocalyptic number.

It is an amenable number.

6405381408 is an abundant number, since it is smaller than the sum of its proper divisors (10408745040).

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

6405381408 is a wasteful number, since it uses less digits than its factorization.

6405381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66722736 (or 66722728 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 6405381408 is about 80033.6267327678. The cubic root of 6405381408 is about 1857.1557685617.

The spelling of 6405381408 in words is "six billion, four hundred five million, three hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 66722723 133445446 200168169 266890892 400336338 533781784 800672676 1067563568 1601345352 2135127136 3202690704 6405381408