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27531125541 = 3217179941997
BaseRepresentation
bin11001101000111110…
…111010001100100101
32122001200200002022100
4121220332322030211
5422340432004131
620351515322313
71663150464063
oct315076721445
978050602270
1027531125541
111074866a117
125404150399
132799a4303a
1414925bb033
15ab1eea7e6
hex668fba325

27531125541 has 12 divisors (see below), whose sum is σ = 42106427532. Its totient is φ = 17274431616.

The previous prime is 27531125537. The next prime is 27531125579. The reversal of 27531125541 is 14552113572.

27531125541 is a `hidden beast` number, since 2 + 75 + 31 + 1 + 2 + 554 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17100792900 + 10430332641 = 130770^2 + 102129^2 .

It is not a de Polignac number, because 27531125541 - 22 = 27531125537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27531125496 and 27531125505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27531125341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89970846 + ... + 89971151.

It is an arithmetic number, because the mean of its divisors is an integer number (3508868961).

Almost surely, 227531125541 is an apocalyptic number.

It is an amenable number.

27531125541 is a deficient number, since it is larger than the sum of its proper divisors (14575301991).

27531125541 is a wasteful number, since it uses less digits than its factorization.

27531125541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179942020 (or 179942017 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The spelling of 27531125541 in words is "twenty-seven billion, five hundred thirty-one million, one hundred twenty-five thousand, five hundred forty-one".

Divisors: 1 3 9 17 51 153 179941997 539825991 1619477973 3059013949 9177041847 27531125541