Search a number
-
+
45045136452161 is a prime number
BaseRepresentation
bin10100011110111111000110…
…10110110110101001000001
312220111021101000020110222002
422033133203112312221001
521401004414412432121
6235445241111353345
712326255321236646
oct1217374326665101
9186437330213862
1045045136452161
111339759822615a
125076071082855
131c19979907391
14b1a2a668ddcd
15531ad9d31e0b
hex28f7e35b6a41

45045136452161 has 2 divisors, whose sum is σ = 45045136452162. Its totient is φ = 45045136452160.

The previous prime is 45045136452157. The next prime is 45045136452209. The reversal of 45045136452161 is 16125463154054.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43744268463025 + 1300867989136 = 6613945^2 + 1140556^2 .

It is a cyclic number.

It is not a de Polignac number, because 45045136452161 - 22 = 45045136452157 is a prime.

It is not a weakly prime, because it can be changed into another prime (45045136952161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22522568226080 + 22522568226081.

It is an arithmetic number, because the mean of its divisors is an integer number (22522568226081).

Almost surely, 245045136452161 is an apocalyptic number.

It is an amenable number.

45045136452161 is a deficient number, since it is larger than the sum of its proper divisors (1).

45045136452161 is an equidigital number, since it uses as much as digits as its factorization.

45045136452161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 45045136452161 in words is "forty-five trillion, forty-five billion, one hundred thirty-six million, four hundred fifty-two thousand, one hundred sixty-one".