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82747363093 is a prime number
BaseRepresentation
bin100110100010000100…
…0001000111100010101
321220120210202120122121
41031010020020330111
52323431311104333
6102002535055541
75656361660353
oct1150410107425
9256523676577
1082747363093
113210280269a
1214053b115b1
137a59392655
14400d9ba7d3
1522447ac32d
hex1344208f15

82747363093 has 2 divisors, whose sum is σ = 82747363094. Its totient is φ = 82747363092.

The previous prime is 82747363079. The next prime is 82747363151. The reversal of 82747363093 is 39036374728.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71557320004 + 11190043089 = 267502^2 + 105783^2 .

It is a cyclic number.

It is not a de Polignac number, because 82747363093 - 217 = 82747232021 is a prime.

It is a super-3 number, since 3×827473630933 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82747363093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82747363003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41373681546 + 41373681547.

It is an arithmetic number, because the mean of its divisors is an integer number (41373681547).

Almost surely, 282747363093 is an apocalyptic number.

It is an amenable number.

82747363093 is a deficient number, since it is larger than the sum of its proper divisors (1).

82747363093 is an equidigital number, since it uses as much as digits as its factorization.

82747363093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4572288, while the sum is 52.

The spelling of 82747363093 in words is "eighty-two billion, seven hundred forty-seven million, three hundred sixty-three thousand, ninety-three".