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58427114320161 = 3331556912534637
BaseRepresentation
bin11010100100011100111110…
…11001001111000100100001
321122212120121001111012211000
431102032133121033010201
530124232212231221121
6324133013515342213
715210135234311436
oct1522163731170441
9248776531435730
1058427114320161
1117686888929784
126677696451969
13267a8652218a2
14105dc5d129b8d
156b4c53ad6526
hex35239f64f121

58427114320161 has 32 divisors (see below), whose sum is σ = 89366955084800. Its totient is φ = 37688140753920.

The previous prime is 58427114320153. The next prime is 58427114320177. The reversal of 58427114320161 is 16102341172485.

58427114320161 is a `hidden beast` number, since 5 + 8 + 42 + 7 + 11 + 432 + 0 + 161 = 666.

58427114320161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58427114320161 - 23 = 58427114320153 is a prime.

It is a super-2 number, since 2×584271143201612 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58427114320061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1606066 + ... + 10928571.

It is an arithmetic number, because the mean of its divisors is an integer number (2792717346400).

Almost surely, 258427114320161 is an apocalyptic number.

It is an amenable number.

58427114320161 is a deficient number, since it is larger than the sum of its proper divisors (30939840764639).

58427114320161 is a wasteful number, since it uses less digits than its factorization.

58427114320161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12540246 (or 12540240 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 58427114320161 in words is "fifty-eight trillion, four hundred twenty-seven billion, one hundred fourteen million, three hundred twenty thousand, one hundred sixty-one".

Divisors: 1 3 9 27 31 93 279 837 5569 16707 50121 150363 172639 517917 1553751 4661253 12534637 37603911 112811733 338435199 388573747 1165721241 3497163723 10491491169 69805393453 209416180359 628248541077 1884745623231 2163967197043 6491901591129 19475704773387 58427114320161