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82829332529 is a prime number
BaseRepresentation
bin100110100100100000…
…0110101000000110001
321220210112000001120122
41031021000311000301
52324113302120104
6102015024020025
75661405465326
oct1151100650061
9256715001518
1082829332529
1132144aa9529
1214077461615
137a70362288
14401a836b4d
15224ba9e6be
hex1349035031

82829332529 has 2 divisors, whose sum is σ = 82829332530. Its totient is φ = 82829332528.

The previous prime is 82829332499. The next prime is 82829332603. The reversal of 82829332529 is 92523392828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71470675600 + 11358656929 = 267340^2 + 106577^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82829332529 is a prime.

It is not a weakly prime, because it can be changed into another prime (82829335529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41414666264 + 41414666265.

It is an arithmetic number, because the mean of its divisors is an integer number (41414666265).

Almost surely, 282829332529 is an apocalyptic number.

It is an amenable number.

82829332529 is a deficient number, since it is larger than the sum of its proper divisors (1).

82829332529 is an equidigital number, since it uses as much as digits as its factorization.

82829332529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3732480, while the sum is 53.

The spelling of 82829332529 in words is "eighty-two billion, eight hundred twenty-nine million, three hundred thirty-two thousand, five hundred twenty-nine".