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36455154211361 is a prime number
BaseRepresentation
bin10000100100111111000001…
…00001000101101000100001
311210002002010101011220210002
420102133200201011220201
514234240123434230421
6205311133332345345
710451540464021424
oct1022374041055041
9153062111156702
1036455154211361
11106855a9194166
124109305475255
1317459249506b2
149006203d39bb
15433437768b0b
hex2127e0845a21

36455154211361 has 2 divisors, whose sum is σ = 36455154211362. Its totient is φ = 36455154211360.

The previous prime is 36455154211313. The next prime is 36455154211363. The reversal of 36455154211361 is 16311245155463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33690769140625 + 2764385070736 = 5804375^2 + 1662644^2 .

It is a cyclic number.

It is not a de Polignac number, because 36455154211361 - 218 = 36455153949217 is a prime.

It is a super-2 number, since 2×364551542113612 (a number of 28 digits) contains 22 as substring.

Together with 36455154211363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36455154211363) 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, 18227577105680 + 18227577105681.

It is an arithmetic number, because the mean of its divisors is an integer number (18227577105681).

Almost surely, 236455154211361 is an apocalyptic number.

It is an amenable number.

36455154211361 is a deficient number, since it is larger than the sum of its proper divisors (1).

36455154211361 is an equidigital number, since it uses as much as digits as its factorization.

36455154211361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296000, while the sum is 47.

The spelling of 36455154211361 in words is "thirty-six trillion, four hundred fifty-five billion, one hundred fifty-four million, two hundred eleven thousand, three hundred sixty-one".