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36506614647017 is a prime number
BaseRepresentation
bin10000100110011110110111…
…10011000100100011101001
311210020222221202001220111102
420103033123303010203221
514241111021322201032
6205350523544211145
710455341641350164
oct1023173363044351
9153228852056442
1036506614647017
11106a5406274129
124117287469ab5
13174a73613c218
14902d02a88adb
1543494a440362
hex2133dbcc48e9

36506614647017 has 2 divisors, whose sum is σ = 36506614647018. Its totient is φ = 36506614647016.

The previous prime is 36506614646969. The next prime is 36506614647053. The reversal of 36506614647017 is 71074641660563.

It is a happy number.

36506614647017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32421510732121 + 4085103914896 = 5693989^2 + 2021164^2 .

It is an emirp because it is prime and its reverse (71074641660563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36506614647017 - 212 = 36506614642921 is a prime.

It is not a weakly prime, because it can be changed into another prime (36506614647077) 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 as a sum of consecutive naturals, namely, 18253307323508 + 18253307323509.

It is an arithmetic number, because the mean of its divisors is an integer number (18253307323509).

Almost surely, 236506614647017 is an apocalyptic number.

It is an amenable number.

36506614647017 is a deficient number, since it is larger than the sum of its proper divisors (1).

36506614647017 is an equidigital number, since it uses as much as digits as its factorization.

36506614647017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 36506614647017 in words is "thirty-six trillion, five hundred six billion, six hundred fourteen million, six hundred forty-seven thousand, seventeen".