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27741333141 = 331027456783
BaseRepresentation
bin11001110101100000…
…110010011010010101
32122121100012201221000
4121311200302122111
5423303240130031
620424425013513
72001312304164
oct316540623225
978540181830
1027741333141
1110846294205
125462624299
132801462532
1414b24993db
15ac56be3e6
hex675832695

27741333141 has 8 divisors (see below), whose sum is σ = 41098271360. Its totient is φ = 18494222076.

The previous prime is 27741333043. The next prime is 27741333143. The reversal of 27741333141 is 14133314772.

27741333141 is a `hidden beast` number, since 2 + 77 + 413 + 33 + 141 = 666.

It is not a de Polignac number, because 27741333141 - 210 = 27741332117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27741333096 and 27741333105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27741333143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 513728365 + ... + 513728418.

It is an arithmetic number, because the mean of its divisors is an integer number (5137283920).

Almost surely, 227741333141 is an apocalyptic number.

It is an amenable number.

27741333141 is a deficient number, since it is larger than the sum of its proper divisors (13356938219).

27741333141 is a wasteful number, since it uses less digits than its factorization.

27741333141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027456792 (or 1027456786 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The spelling of 27741333141 in words is "twenty-seven billion, seven hundred forty-one million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 27 1027456783 3082370349 9247111047 27741333141