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82829939511 = 311171011461851
BaseRepresentation
bin100110100100100001…
…1001001001100110111
321220210120010220012110
41031021003021030313
52324113431031021
6102015045022103
75661413604054
oct1151103111467
9256716126173
1082829939511
1132145383570
12140776b4933
137a70515637
14401a95402b
15224bb6e476
hex13490c9337

82829939511 has 32 divisors (see below), whose sum is σ = 128830093056. Its totient is φ = 46779200000.

The previous prime is 82829939483. The next prime is 82829939527. The reversal of 82829939511 is 11593992828.

It is a cyclic number.

It is not a de Polignac number, because 82829939511 - 26 = 82829939447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82829939531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674265 + ... + 787586.

It is an arithmetic number, because the mean of its divisors is an integer number (4025940408).

Almost surely, 282829939511 is an apocalyptic number.

82829939511 is a deficient number, since it is larger than the sum of its proper divisors (46000153545).

82829939511 is a wasteful number, since it uses less digits than its factorization.

82829939511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461983.

The product of its digits is 2799360, while the sum is 57.

The spelling of 82829939511 in words is "eighty-two billion, eight hundred twenty-nine million, nine hundred thirty-nine thousand, five hundred eleven".

Divisors: 1 3 11 17 33 51 101 187 303 561 1111 1717 3333 5151 18887 56661 1461851 4385553 16080361 24851467 48241083 74554401 147646951 273366137 442940853 820098411 1624116461 2509998167 4872349383 7529994501 27609979837 82829939511