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27643920645 = 35117113118013
BaseRepresentation
bin11001101111101101…
…001100000100000101
32122100112220200002210
4121233231030010011
5423103320430040
620411025054033
71666020306555
oct315755140405
978315820083
1027643920645
11107a62aa810
125435a87319
1327b72166c3
1414a357d165
15abbd7b480
hex66fb4c105

27643920645 has 64 divisors (see below), whose sum is σ = 49307056128. Its totient is φ = 13112736000.

The previous prime is 27643920631. The next prime is 27643920671. The reversal of 27643920645 is 54602934672.

It is not a de Polignac number, because 27643920645 - 25 = 27643920613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27643920594 and 27643920603.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1525659 + ... + 1543671.

It is an arithmetic number, because the mean of its divisors is an integer number (770422752).

Almost surely, 227643920645 is an apocalyptic number.

It is an amenable number.

27643920645 is a deficient number, since it is larger than the sum of its proper divisors (21663135483).

27643920645 is a wasteful number, since it uses less digits than its factorization.

27643920645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18234.

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 27643920645 in words is "twenty-seven billion, six hundred forty-three million, nine hundred twenty thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 71 131 165 213 355 393 655 781 1065 1441 1965 2343 3905 4323 7205 9301 11715 18013 21615 27903 46505 54039 90065 102311 139515 198143 270195 306933 511555 594429 990715 1278923 1534665 2359703 2972145 3836769 6394615 7079109 11798515 14068153 19183845 25956733 35395545 42204459 70340765 77870199 129783665 167538913 211022295 389350995 502616739 837694565 1842928043 2513083695 5528784129 9214640215 27643920645