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6000328152 = 2333713305267
BaseRepresentation
bin1011001011010010…
…11011110111011000
3120111011200020211000
411211221123313120
544242041000102
62431223505000
7301456643040
oct54551336730
916434606730
106000328152
1125aa035395
1211b55b8160
13748182240
1440cc96720
15251ba001c
hex165a5bdd8

6000328152 has 128 divisors (see below), whose sum is σ = 20514009600. Its totient is φ = 1582498944.

The previous prime is 6000328133. The next prime is 6000328153. The reversal of 6000328152 is 2518230006.

6000328152 is a `hidden beast` number, since 600 + 0 + 3 + 2 + 8 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000328153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132978 + ... + 172289.

It is an arithmetic number, because the mean of its divisors is an integer number (160265700).

Almost surely, 26000328152 is an apocalyptic number.

It is an amenable number.

6000328152 is an abundant number, since it is smaller than the sum of its proper divisors (14513681448).

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

6000328152 is a wasteful number, since it uses less digits than its factorization.

6000328152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305302 (or 305292 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6000328152 is about 77461.7851072385. The cubic root of 6000328152 is about 1817.1537195480.

Adding to 6000328152 its reverse (2518230006), we get a palindrome (8518558158).

The spelling of 6000328152 in words is "six billion, three hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 305267 610534 915801 1221068 1831602 2136869 2442136 2747403 3663204 3968471 4273738 5494806 6410607 7326408 7936942 8242209 8547476 10989612 11905413 12821214 15873884 16484418 17094952 19231821 21979224 23810826 25642428 27779297 31747768 32968836 35716239 38463642 47621652 51284856 55558594 57695463 65937672 71432478 76927284 83337891 95243304 107148717 111117188 115390926 142864956 153854568 166675782 214297434 222234376 230781852 250013673 285729912 333351564 428594868 461563704 500027346 666703128 750041019 857189736 1000054692 1500082038 2000109384 3000164076 6000328152