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36005054366341 is a prime number
BaseRepresentation
bin10000010111111000101000…
…11110011100001010000101
311201111001100010220201112201
420023330110132130022011
514204401322404210331
6204324254342514501
710404164545326334
oct1013742436341205
9151431303821481
1036005054366341
11105217265a3775
12405602ba35a31
131712353984558
148c692254dd1b
15426892856a61
hex20bf1479c285

36005054366341 has 2 divisors, whose sum is σ = 36005054366342. Its totient is φ = 36005054366340.

The previous prime is 36005054366227. The next prime is 36005054366363. The reversal of 36005054366341 is 14366345050063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35790856642116 + 214197724225 = 5982546^2 + 462815^2 .

It is a cyclic number.

It is not a de Polignac number, because 36005054366341 - 213 = 36005054358149 is a prime.

It is a super-2 number, since 2×360050543663412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36005054366291 and 36005054366300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36005052366341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18002527183170 + 18002527183171.

It is an arithmetic number, because the mean of its divisors is an integer number (18002527183171).

Almost surely, 236005054366341 is an apocalyptic number.

It is an amenable number.

36005054366341 is a deficient number, since it is larger than the sum of its proper divisors (1).

36005054366341 is an equidigital number, since it uses as much as digits as its factorization.

36005054366341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2332800, while the sum is 46.

The spelling of 36005054366341 in words is "thirty-six trillion, five billion, fifty-four million, three hundred sixty-six thousand, three hundred forty-one".