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27071536901 is a prime number
BaseRepresentation
bin11001001101100101…
…101101111100000101
32120212122212120012212
4121031211231330011
5420420303140101
620234140553205
71645600160363
oct311545557405
976778776185
1027071536901
11105321a43a2
1252b6252805
132725769ab6
14144b544633
15a869b61bb
hex64d96df05

27071536901 has 2 divisors, whose sum is σ = 27071536902. Its totient is φ = 27071536900.

The previous prime is 27071536879. The next prime is 27071536913. The reversal of 27071536901 is 10963517072.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18063628801 + 9007908100 = 134401^2 + 94910^2 .

It is a cyclic number.

It is not a de Polignac number, because 27071536901 - 234 = 9891667717 is a prime.

It is a super-2 number, since 2×270715369012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27071536951) 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 as a sum of consecutive naturals, namely, 13535768450 + 13535768451.

It is an arithmetic number, because the mean of its divisors is an integer number (13535768451).

Almost surely, 227071536901 is an apocalyptic number.

It is an amenable number.

27071536901 is a deficient number, since it is larger than the sum of its proper divisors (1).

27071536901 is an equidigital number, since it uses as much as digits as its factorization.

27071536901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 41.

The spelling of 27071536901 in words is "twenty-seven billion, seventy-one million, five hundred thirty-six thousand, nine hundred one".