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65581382417 is a prime number
BaseRepresentation
bin111101000100111101…
…000111101100010001
320021021110221102001112
4331010331013230101
52033302313214132
650043324343105
74511111360435
oct750475075421
9207243842045
1065581382417
11258a3a87301
12108630a4a95
136251b96535
143261c529c5
151a8c74aab2
hexf44f47b11

65581382417 has 2 divisors, whose sum is σ = 65581382418. Its totient is φ = 65581382416.

The previous prime is 65581382407. The next prime is 65581382459. The reversal of 65581382417 is 71428318556.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45287670481 + 20293711936 = 212809^2 + 142456^2 .

It is a cyclic number.

It is not a de Polignac number, because 65581382417 - 212 = 65581378321 is a prime.

It is not a weakly prime, because it can be changed into another prime (65581382407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32790691208 + 32790691209.

It is an arithmetic number, because the mean of its divisors is an integer number (32790691209).

Almost surely, 265581382417 is an apocalyptic number.

It is an amenable number.

65581382417 is a deficient number, since it is larger than the sum of its proper divisors (1).

65581382417 is an equidigital number, since it uses as much as digits as its factorization.

65581382417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1612800, while the sum is 50.

The spelling of 65581382417 in words is "sixty-five billion, five hundred eighty-one million, three hundred eighty-two thousand, four hundred seventeen".