Search a number
-
+
82703608769 is a prime number
BaseRepresentation
bin100110100000110000…
…1001110101111000001
321220110202102122000002
41031001201032233001
52323334110440034
6101554333205345
75655321034625
oct1150141165701
9256422378002
1082703608769
11320900383a1
1214041330855
137a502b3012
144007c6b185
152240a17e7e
hex134184ebc1

82703608769 has 2 divisors, whose sum is σ = 82703608770. Its totient is φ = 82703608768.

The previous prime is 82703608727. The next prime is 82703608829. The reversal of 82703608769 is 96780630728.

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., 82613130625 + 90478144 = 287425^2 + 9512^2 .

It is a cyclic number.

It is not a de Polignac number, because 82703608769 - 228 = 82435173313 is a prime.

It is a super-2 number, since 2×827036087692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82703608069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41351804384 + 41351804385.

It is an arithmetic number, because the mean of its divisors is an integer number (41351804385).

Almost surely, 282703608769 is an apocalyptic number.

It is an amenable number.

82703608769 is a deficient number, since it is larger than the sum of its proper divisors (1).

82703608769 is an equidigital number, since it uses as much as digits as its factorization.

82703608769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6096384, while the sum is 56.

The spelling of 82703608769 in words is "eighty-two billion, seven hundred three million, six hundred eight thousand, seven hundred sixty-nine".