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6064531344 = 2433132110627
BaseRepresentation
bin1011010010111100…
…10110011110010000
3120122122111010001000
411221132112132100
544410010000334
62441435542000
7303166444254
oct55136263620
916578433030
106064531344
1126322a7183
121212bba900
137585713b1
1441760a264
15257633299
hex169796790

6064531344 has 80 divisors (see below), whose sum is σ = 17422267840. Its totient is φ = 2019790080.

The previous prime is 6064531339. The next prime is 6064531349. The reversal of 6064531344 is 4431354606.

6064531344 is a `hidden beast` number, since 6 + 0 + 645 + 3 + 1 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6064531339) and next prime (6064531349).

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

It is a junction number, because it is equal to n+sod(n) for n = 6064531299 and 6064531308.

It is not an unprimeable number, because it can be changed into a prime (6064531349) 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 15 ways as a sum of consecutive naturals, for example, 565359 + ... + 575985.

It is an arithmetic number, because the mean of its divisors is an integer number (217778348).

Almost surely, 26064531344 is an apocalyptic number.

It is an amenable number.

6064531344 is an abundant number, since it is smaller than the sum of its proper divisors (11357736496).

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

6064531344 is a wasteful number, since it uses less digits than its factorization.

6064531344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11965 (or 11953 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6064531344 is about 77875.1009244932. The cubic root of 6064531344 is about 1823.6118893766.

The spelling of 6064531344 in words is "six billion, sixty-four million, five hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1321 2642 3963 5284 7926 10568 10627 11889 15852 21136 21254 23778 31704 31881 35667 42508 47556 63408 63762 71334 85016 95112 95643 127524 142668 170032 190224 191286 255048 285336 286929 382572 510096 570672 573858 765144 1147716 1530288 2295432 4590864 14038267 28076534 42114801 56153068 84229602 112306136 126344403 168459204 224612272 252688806 336918408 379033209 505377612 673836816 758066418 1010755224 1516132836 2021510448 3032265672 6064531344