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82367684429 is a prime number
BaseRepresentation
bin100110010110101111…
…1110001111101001101
321212121100022220102212
41030231133301331031
52322142111400204
6101501133200205
75644101523442
oct1145537617515
9255540286385
1082367684429
1131a28457478
1213b68930065
1379c8817814
143db53c59c9
1522212aec6e
hex132d7f1f4d

82367684429 has 2 divisors, whose sum is σ = 82367684430. Its totient is φ = 82367684428.

The previous prime is 82367684353. The next prime is 82367684533. The reversal of 82367684429 is 92448676328.

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., 72739168804 + 9628515625 = 269702^2 + 98125^2 .

It is a cyclic number.

It is not a de Polignac number, because 82367684429 - 220 = 82366635853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82367689429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41183842214 + 41183842215.

It is an arithmetic number, because the mean of its divisors is an integer number (41183842215).

Almost surely, 282367684429 is an apocalyptic number.

It is an amenable number.

82367684429 is a deficient number, since it is larger than the sum of its proper divisors (1).

82367684429 is an equidigital number, since it uses as much as digits as its factorization.

82367684429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27869184, while the sum is 59.

The spelling of 82367684429 in words is "eighty-two billion, three hundred sixty-seven million, six hundred eighty-four thousand, four hundred twenty-nine".