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6006028896 = 2532719156799
BaseRepresentation
bin1011001011111110…
…01011101001100000
3120111120101212202200
411211333023221200
544300020411041
62431550013200
7301556255220
oct54577135140
916446355680
106006028896
11260227944a
1211b74a7200
137493c9c6a
1440d93c080
152524291b6
hex165fcba60

6006028896 has 144 divisors (see below), whose sum is σ = 20547072000. Its totient is φ = 1625681664.

The previous prime is 6006028871. The next prime is 6006028901. The reversal of 6006028896 is 6988206006.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40096 + ... + 116703.

It is an arithmetic number, because the mean of its divisors is an integer number (142688000).

Almost surely, 26006028896 is an apocalyptic number.

It is an amenable number.

6006028896 is an abundant number, since it is smaller than the sum of its proper divisors (14541043104).

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

6006028896 is a wasteful number, since it uses less digits than its factorization.

6006028896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156841 (or 156830 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6006028896 is about 77498.5735094524. The cubic root of 6006028896 is about 1817.7290130427.

The spelling of 6006028896 in words is "six billion, six million, twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 156799 313598 470397 627196 940794 1097593 1254392 1411191 1881588 2195186 2508784 2822382 2979181 3292779 3763176 4390372 5017568 5644764 5958362 6585558 7526352 8780744 8937543 9878337 11289528 11916724 13171116 15052704 17561488 17875086 19756674 20854267 22579056 23833448 26342232 26812629 35122976 35750172 39513348 41708534 45158112 47666896 52684464 53625258 62562801 71500344 79026696 83417068 95333792 105368928 107250516 125125602 143000688 158053392 166834136 187688403 214501032 250251204 286001376 316106784 333668272 375376806 429002064 500502408 667336544 750753612 858004128 1001004816 1501507224 2002009632 3003014448 6006028896