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45379000817 is a prime number
BaseRepresentation
bin101010010000110011…
…001001100111110001
311100010112121002102222
4222100303021213301
51220414011011232
632502525250425
73164351066633
oct522063114761
9140115532388
1045379000817
1118277298a67
128965403a15
1343825ac597
1422a6b28a53
1512a8d54d12
hexa90cc99f1

45379000817 has 2 divisors, whose sum is σ = 45379000818. Its totient is φ = 45379000816.

The previous prime is 45379000783. The next prime is 45379000861. The reversal of 45379000817 is 71800097354.

It is an a-pointer prime, because the next prime (45379000861) can be obtained adding 45379000817 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45268519696 + 110481121 = 212764^2 + 10511^2 .

It is a cyclic number.

It is not a de Polignac number, because 45379000817 - 26 = 45379000753 is a prime.

It is not a weakly prime, because it can be changed into another prime (45379000517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22689500408 + 22689500409.

It is an arithmetic number, because the mean of its divisors is an integer number (22689500409).

Almost surely, 245379000817 is an apocalyptic number.

It is an amenable number.

45379000817 is a deficient number, since it is larger than the sum of its proper divisors (1).

45379000817 is an equidigital number, since it uses as much as digits as its factorization.

45379000817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 45379000817 in words is "forty-five billion, three hundred seventy-nine million, eight hundred seventeen", and thus it is an aban number.