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82359695832 = 23359211275657
BaseRepresentation
bin100110010110100000…
…1010011100111011000
321212120210022001010220
41030231001103213120
52322133040231312
6101500250040040
75643643602201
oct1145501234730
9255523261126
1082359695832
1131a239a0527
1213b66119020
1379c6c7b63b
143db43065a8
152220732c8c
hex132d0539d8

82359695832 has 64 divisors (see below), whose sum is σ = 210382185600. Its totient is φ = 26859920640.

The previous prime is 82359695807. The next prime is 82359695839. The reversal of 82359695832 is 23859695328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82359695839) 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 15 ways as a sum of consecutive naturals, for example, 160948 + ... + 436604.

It is an arithmetic number, because the mean of its divisors is an integer number (3287221650).

Almost surely, 282359695832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82359695832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105191092800).

82359695832 is an abundant number, since it is smaller than the sum of its proper divisors (128022489768).

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

82359695832 is a wasteful number, since it uses less digits than its factorization.

82359695832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275936 (or 275932 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 60.

The spelling of 82359695832 in words is "eighty-two billion, three hundred fifty-nine million, six hundred ninety-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 211 236 354 422 472 633 708 844 1266 1416 1688 2532 5064 12449 24898 37347 49796 74694 99592 149388 275657 298776 551314 826971 1102628 1653942 2205256 3307884 6615768 16263763 32527526 48791289 58163627 65055052 97582578 116327254 130110104 174490881 195165156 232654508 348981762 390330312 465309016 697963524 1395927048 3431653993 6863307986 10294961979 13726615972 20589923958 27453231944 41179847916 82359695832