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2039218417 is a prime number
BaseRepresentation
bin111100110001100…
…0000000011110001
312021010011000210001
41321203000003301
513134014442132
6534203310001
7101351033125
oct17143000361
95233130701
102039218417
119570a3a85
1248ab1b301
13266629222
14154b87585
15be05cce7
hex798c00f1

2039218417 has 2 divisors, whose sum is σ = 2039218418. Its totient is φ = 2039218416.

The previous prime is 2039218397. The next prime is 2039218483. The reversal of 2039218417 is 7148129302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1999073521 + 40144896 = 44711^2 + 6336^2 .

It is a cyclic number.

It is not a de Polignac number, because 2039218417 - 227 = 1905000689 is a prime.

It is not a weakly prime, because it can be changed into another prime (2039210417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1019609208 + 1019609209.

It is an arithmetic number, because the mean of its divisors is an integer number (1019609209).

Almost surely, 22039218417 is an apocalyptic number.

It is an amenable number.

2039218417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2039218417 is an equidigital number, since it uses as much as digits as its factorization.

2039218417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 2039218417 is about 45157.7060644139. The cubic root of 2039218417 is about 1268.1031507023.

It can be divided in two parts, 20392 and 18417, that added together give a square (38809 = 1972).

The spelling of 2039218417 in words is "two billion, thirty-nine million, two hundred eighteen thousand, four hundred seventeen".