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717312218137 = 1773975958881
BaseRepresentation
bin10100111000000110010…
…00111101010000011001
32112120111201111012102021
422130003020331100121
543223023411440022
61305310110134441
7102552444152464
oct12340310752031
92476451435367
10717312218137
11257235057399
12b702a4b1421
13528470484b8
1426a0a6582db
15139d3da37c7
hexa70323d419

717312218137 has 16 divisors (see below), whose sum is σ = 777848620752. Its totient is φ = 659004456960.

The previous prime is 717312218093. The next prime is 717312218153. The reversal of 717312218137 is 731812213717.

It can be written as a sum of positive squares in 8 ways, for example, as 190009681801 + 527302536336 = 435901^2 + 726156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-717312218137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 717312218093 and 717312218102.

It is not an unprimeable number, because it can be changed into a prime (717312218177) 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 in 15 ways as a sum of consecutive naturals, for example, 2859064 + ... + 3099817.

It is an arithmetic number, because the mean of its divisors is an integer number (48615538797).

Almost surely, 2717312218137 is an apocalyptic number.

It is an amenable number.

717312218137 is a deficient number, since it is larger than the sum of its proper divisors (60536402615).

717312218137 is a wasteful number, since it uses less digits than its factorization.

717312218137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959068.

The product of its digits is 98784, while the sum is 43.

The spelling of 717312218137 in words is "seven hundred seventeen billion, three hundred twelve million, two hundred eighteen thousand, one hundred thirty-seven".

Divisors: 1 17 73 97 1241 1649 7081 120377 5958881 101300977 434998313 578011457 7394971321 9826194769 42194836361 717312218137