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82739542004 = 22731118180713
BaseRepresentation
bin100110100001110101…
…0010011011111110100
321220120021001020010122
41031003222103133310
52323422310321004
6102002055311112
75656235334350
oct1150352233764
9256507036118
1082739542004
11320a9350589
121405137b498
137a578847a2
14400c942460
152243c64cbe
hex1343a937f4

82739542004 has 48 divisors (see below), whose sum is σ = 170963874816. Its totient is φ = 34286457600.

The previous prime is 82739542001. The next prime is 82739542009. The reversal of 82739542004 is 40024593728.

It is a super-2 number, since 2×827395420042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82739542001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984752 + ... + 1065464.

It is an arithmetic number, because the mean of its divisors is an integer number (3561747392).

Almost surely, 282739542004 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 82739542004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85481937408).

82739542004 is an abundant number, since it is smaller than the sum of its proper divisors (88224332812).

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

82739542004 is a wasteful number, since it uses less digits than its factorization.

82739542004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81936 (or 81934 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 82739542004 in words is "eighty-two billion, seven hundred thirty-nine million, five hundred forty-two thousand, four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1181 2362 4724 8267 16534 33068 36611 73222 80713 146444 161426 256277 322852 512554 564991 1025108 1129982 2259964 2502103 5004206 10008412 17514721 35029442 70058884 95322053 190644106 381288212 667254371 1334508742 2669017484 2954983643 5909967286 11819934572 20684885501 41369771002 82739542004