Search a number
-
+
36055773642641 is a prime number
BaseRepresentation
bin10000011001010111000111…
…00101000111111110010001
311201122220020212011220202112
420030223203211013332101
514211214211023031031
6204403443240555105
710410641453136464
oct1014534345077621
9151586225156675
1036055773642641
1110541193281745
124063a25782a95
13171707775254c
148c91745d52db
15427d6042a62b
hex20cae3947f91

36055773642641 has 2 divisors, whose sum is σ = 36055773642642. Its totient is φ = 36055773642640.

The previous prime is 36055773642533. The next prime is 36055773642653. The reversal of 36055773642641 is 14624637755063.

36055773642641 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., 35392980640000 + 662793002641 = 5949200^2 + 814121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36055773642641 is a prime.

It is not a weakly prime, because it can be changed into another prime (36055773612641) 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, 18027886821320 + 18027886821321.

It is an arithmetic number, because the mean of its divisors is an integer number (18027886821321).

Almost surely, 236055773642641 is an apocalyptic number.

It is an amenable number.

36055773642641 is a deficient number, since it is larger than the sum of its proper divisors (1).

36055773642641 is an equidigital number, since it uses as much as digits as its factorization.

36055773642641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76204800, while the sum is 59.

The spelling of 36055773642641 in words is "thirty-six trillion, fifty-five billion, seven hundred seventy-three million, six hundred forty-two thousand, six hundred forty-one".