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83728406653 is a prime number
BaseRepresentation
bin100110111111010011…
…0100001100001111101
322000010011202202102021
41031332212201201331
52332433433003103
6102244142200141
76022603466563
oct1157646414175
9260104682367
1083728406653
11325665591a1
1214288583051
137b846c33b8
1440a3dd1a33
1522a0996bbd
hex137e9a187d

83728406653 has 2 divisors, whose sum is σ = 83728406654. Its totient is φ = 83728406652.

The previous prime is 83728406651. The next prime is 83728406659. The reversal of 83728406653 is 35660482738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53609845444 + 30118561209 = 231538^2 + 173547^2 .

It is a cyclic number.

It is not a de Polignac number, because 83728406653 - 21 = 83728406651 is a prime.

Together with 83728406651, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 83728406653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83728406651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41864203326 + 41864203327.

It is an arithmetic number, because the mean of its divisors is an integer number (41864203327).

Almost surely, 283728406653 is an apocalyptic number.

It is an amenable number.

83728406653 is a deficient number, since it is larger than the sum of its proper divisors (1).

83728406653 is an equidigital number, since it uses as much as digits as its factorization.

83728406653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 83728406653 in words is "eighty-three billion, seven hundred twenty-eight million, four hundred six thousand, six hundred fifty-three".