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82286357856 = 25319731313901
BaseRepresentation
bin100110010100010100…
…1100010110101100000
321212101200022002100120
41030220221202311200
52322010301422411
6101445110120240
75642063333643
oct1145051426540
9255350262316
1082286357856
113199655a62a
1213b45650080
1379b4a116a1
143da8695a5a
152219098106
hex1328a62d60

82286357856 has 96 divisors (see below), whose sum is σ = 217807416288. Its totient is φ = 27200409600.

The previous prime is 82286357843. The next prime is 82286357863. The reversal of 82286357856 is 65875368228.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 82286357856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5912506 + ... + 5926406.

It is an arithmetic number, because the mean of its divisors is an integer number (2268827253).

Almost surely, 282286357856 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 82286357856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108903708144).

82286357856 is an abundant number, since it is smaller than the sum of its proper divisors (135521058432).

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

82286357856 is a wasteful number, since it uses less digits than its factorization.

82286357856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424 (or 14416 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 82286357856 in words is "eighty-two billion, two hundred eighty-six million, three hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 313 394 591 626 788 939 1182 1252 1576 1878 2364 2504 3152 3756 4728 5008 6304 7512 9456 10016 13901 15024 18912 27802 30048 41703 55604 61661 83406 111208 123322 166812 184983 222416 246644 333624 369966 444832 493288 667248 739932 986576 1334496 1479864 1973152 2738497 2959728 4351013 5476994 5919456 8215491 8702026 10953988 13053039 16430982 17404052 21907976 26106078 32861964 34808104 43815952 52212156 65723928 69616208 87631904 104424312 131447856 139232416 208848624 262895712 417697248 857149561 1714299122 2571448683 3428598244 5142897366 6857196488 10285794732 13714392976 20571589464 27428785952 41143178928 82286357856