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82402729422 = 231331113301583
BaseRepresentation
bin100110010111110010…
…1011101110111001110
321212200210021101010120
41030233211131313032
52322230044320142
6101504424245410
75645005433436
oct1145745356716
9255623241116
1082402729422
1131a46213282
1213b78610866
137a02b67bc0
143db9d092c6
1522243d37ec
hex132f95ddce

82402729422 has 64 divisors (see below), whose sum is σ = 184829976576. Its totient is φ = 24319572480.

The previous prime is 82402729417. The next prime is 82402729463. The reversal of 82402729422 is 22492720428.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 122443 + ... + 424025.

It is an arithmetic number, because the mean of its divisors is an integer number (2887968384).

Almost surely, 282402729422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82402729422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92414988288).

82402729422 is an abundant number, since it is smaller than the sum of its proper divisors (102427247154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82402729422 is a wasteful number, since it uses less digits than its factorization.

82402729422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301745.

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 82402729422 in words is "eighty-two billion, four hundred two million, seven hundred twenty-nine thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 113 186 226 339 403 678 806 1209 1469 2418 2938 3503 4407 7006 8814 10509 21018 45539 91078 136617 273234 301583 603166 904749 1809498 3920579 7841158 9349073 11761737 18698146 23523474 28047219 34078879 56094438 68157758 102236637 121537949 204473274 243075898 364613847 443025427 729227694 886050854 1056445249 1329076281 2112890498 2658152562 3169335747 6338671494 13733788237 27467576474 41201364711 82402729422