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27136036133 is a prime number
BaseRepresentation
bin11001010001011011…
…110000110100100101
32121001011020110112022
4121101123300310211
5421033311124013
620244403232525
71650312333653
oct312133606445
977034213468
1027136036133
1110565648648
125313978745
132735c3091b
141455d33dd3
15a8c4a7008
hex6516f0d25

27136036133 has 2 divisors, whose sum is σ = 27136036134. Its totient is φ = 27136036132.

The previous prime is 27136036069. The next prime is 27136036139. The reversal of 27136036133 is 33163063172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22782279844 + 4353756289 = 150938^2 + 65983^2 .

It is a cyclic number.

It is not a de Polignac number, because 27136036133 - 26 = 27136036069 is a prime.

It is a super-2 number, since 2×271360361332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27136036093 and 27136036102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27136036139) 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 as a sum of consecutive naturals, namely, 13568018066 + 13568018067.

It is an arithmetic number, because the mean of its divisors is an integer number (13568018067).

Almost surely, 227136036133 is an apocalyptic number.

It is an amenable number.

27136036133 is a deficient number, since it is larger than the sum of its proper divisors (1).

27136036133 is an equidigital number, since it uses as much as digits as its factorization.

27136036133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 35.

The spelling of 27136036133 in words is "twenty-seven billion, one hundred thirty-six million, thirty-six thousand, one hundred thirty-three".