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6404906160 = 243258895703
BaseRepresentation
bin1011111011100001…
…10001110010110000
3121112100221221111200
411331300301302300
5101104123444120
62535315211200
7314501542542
oct57560616260
917470857450
106404906160
112797447884
1212a8ba6b00
137b0c37503
1444a8cd692
15277469e90
hex17dc31cb0

6404906160 has 60 divisors (see below), whose sum is σ = 21509812272. Its totient is φ = 1707974784.

The previous prime is 6404906113. The next prime is 6404906161. The reversal of 6404906160 is 616094046.

6404906160 is a `hidden beast` number, since 6 + 4 + 0 + 490 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6404906161) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4447132 + ... + 4448571.

Almost surely, 26404906160 is an apocalyptic number.

6404906160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6404906160 is an abundant number, since it is smaller than the sum of its proper divisors (15104906112).

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

6404906160 is a wasteful number, since it uses less digits than its factorization.

6404906160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895722 (or 8895713 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6404906160 is about 80030.6576256874. The cubic root of 6404906160 is about 1857.1098367981.

The spelling of 6404906160 in words is "six billion, four hundred four million, nine hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 8895703 17791406 26687109 35582812 44478515 53374218 71165624 80061327 88957030 106748436 133435545 142331248 160122654 177914060 213496872 266871090 320245308 355828120 400306635 426993744 533742180 640490616 711656240 800613270 1067484360 1280981232 1601226540 2134968720 3202453080 6404906160