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6481864305 = 32572109149181
BaseRepresentation
bin1100000100101100…
…10110011001110001
3121201201202211020100
412002112112121301
5101233324124210
62551104503013
7316424636400
oct60226263161
917651684210
106481864305
112826930654
12130a91aa69
137c3b71187
14456c03637
1527e0bc5c0
hex182596671

6481864305 has 144 divisors (see below), whose sum is σ = 13351338000. Its totient is φ = 2900136960.

The previous prime is 6481864289. The next prime is 6481864381. The reversal of 6481864305 is 5034681846.

6481864305 is a `hidden beast` number, since 64 + 81 + 86 + 430 + 5 = 666.

6481864305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1644383601 + 4837480704 = 40551^2 + 69552^2 .

It is not a de Polignac number, because 6481864305 - 24 = 6481864289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35811315 + ... + 35811495.

It is an arithmetic number, because the mean of its divisors is an integer number (92717625).

Almost surely, 26481864305 is an apocalyptic number.

It is an amenable number.

6481864305 is an abundant number, since it is smaller than the sum of its proper divisors (6869473695).

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

6481864305 is a wasteful number, since it uses less digits than its factorization.

6481864305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6481864305 is about 80510.0261147641. The cubic root of 6481864305 is about 1864.5182774504.

The spelling of 6481864305 in words is "six billion, four hundred eighty-one million, eight hundred sixty-four thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 109 147 149 181 245 315 327 441 447 543 545 735 745 763 905 981 1043 1267 1341 1629 1635 2205 2235 2289 2715 3129 3801 3815 4905 5215 5341 6335 6705 6867 7301 8145 8869 9387 11403 11445 15645 16023 16241 19005 19729 21903 26607 26705 26969 34335 36505 44345 46935 48069 48723 57015 59187 65709 79821 80115 80907 81205 98645 109515 113687 133035 134845 138103 146169 177561 188783 240345 242721 243615 295935 328545 341061 399105 404535 414309 566349 568435 690515 730845 795809 887805 943915 966721 1023183 1213605 1242927 1321481 1699047 1705305 2071545 2387427 2831745 2900163 2939621 3964443 3979045 4833605 5115915 6214635 6607405 7162281 8495235 8700489 8818863 11893329 11937135 14500815 14698105 19822215 20577347 26456589 35811405 43502445 44094315 59466645 61732041 102886735 132282945 144041429 185196123 308660205 432124287 720207145 925980615 1296372861 2160621435 6481864305