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82667710342317 = 3135971920265881
BaseRepresentation
bin10010110010111110010011…
…100000100110010010101101
3101211200221210212111201002110
4102302332103200212102231
541313411432321423232
6451453004415314233
723261354632645302
oct2262762340462255
9354627725451073
1082667710342317
11243821a7388911
129331680b1b979
1337186bb0078a9
14165b1d21a50a9
1598559bd67acc
hex4b2f938264ad

82667710342317 has 8 divisors (see below), whose sum is σ = 110223700292160. Its totient is φ = 55111763643680.

The previous prime is 82667710342237. The next prime is 82667710342337. The reversal of 82667710342317 is 71324301776628.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82667710342317 - 218 = 82667710080173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82667710342337) 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 7 ways as a sum of consecutive naturals, for example, 6053784 + ... + 14212097.

It is an arithmetic number, because the mean of its divisors is an integer number (13777962536520).

Almost surely, 282667710342317 is an apocalyptic number.

It is an amenable number.

82667710342317 is a deficient number, since it is larger than the sum of its proper divisors (27555989949843).

82667710342317 is a wasteful number, since it uses less digits than its factorization.

82667710342317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21625603.

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 82667710342317 in words is "eighty-two trillion, six hundred sixty-seven billion, seven hundred ten million, three hundred forty-two thousand, three hundred seventeen".

Divisors: 1 3 1359719 4079157 20265881 60797643 27555903447439 82667710342317