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82040042229 = 3176532463443
BaseRepresentation
bin100110001100111110…
…1111011001011110101
321211202111210221211120
41030121331323023311
52321004222322404
6101404430454153
75633012565405
oct1143175731365
9254674727746
1082040042229
113187a512aa2
1213a97064359
13797598bcb2
143d83a98805
1522026409d9
hex1319f7b2f5

82040042229 has 16 divisors (see below), whose sum is σ = 115998651072. Its totient is φ = 51397253888.

The previous prime is 82040042191. The next prime is 82040042251. The reversal of 82040042229 is 92224004028.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82040042229 - 29 = 82040041717 is a prime.

It is a super-2 number, since 2×820400422292 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82040042229.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82040042299) 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 in 15 ways as a sum of consecutive naturals, for example, 1198419 + ... + 1265024.

It is an arithmetic number, because the mean of its divisors is an integer number (7249915692).

Almost surely, 282040042229 is an apocalyptic number.

It is an amenable number.

82040042229 is a deficient number, since it is larger than the sum of its proper divisors (33958608843).

82040042229 is a wasteful number, since it uses less digits than its factorization.

82040042229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464116.

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 82040042229 in words is "eighty-two billion, forty million, forty-two thousand, two hundred twenty-nine".

Divisors: 1 3 17 51 653 1959 11101 33303 2463443 7390329 41878531 125635593 1608628279 4825884837 27346680743 82040042229