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82547338086 = 2332983635087
BaseRepresentation
bin100110011100000110…
…1000110101101100110
321220001212101020221000
41030320031012231212
52323024104304321
6101531031534130
75651412540153
oct1147015065546
9256055336830
1082547338086
113200a902974
1213bb8b2a346
137a26ac9b65
143dd11cd22a
152231e4a826
hex1338346b66

82547338086 has 64 divisors (see below), whose sum is σ = 192050611200. Its totient is φ = 26246834208.

The previous prime is 82547338061. The next prime is 82547338087. The reversal of 82547338086 is 68083374528.

82547338086 is a `hidden beast` number, since 8 + 254 + 7 + 3 + 380 + 8 + 6 = 666.

It is a super-2 number, since 2×825473380862 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82547338087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187566 + ... + 447521.

It is an arithmetic number, because the mean of its divisors is an integer number (3000790800).

Almost surely, 282547338086 is an apocalyptic number.

82547338086 is an abundant number, since it is smaller than the sum of its proper divisors (109503273114).

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

82547338086 is a wasteful number, since it uses less digits than its factorization.

82547338086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635210 (or 635204 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 82547338086 in words is "eighty-two billion, five hundred forty-seven million, three hundred thirty-eight thousand, eighty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 83 87 166 174 249 261 498 522 747 783 1494 1566 2241 2407 4482 4814 7221 14442 21663 43326 64989 129978 635087 1270174 1905261 3810522 5715783 11431566 17147349 18417523 34294698 36835046 52712221 55252569 105424442 110505138 158136663 165757707 316273326 331515414 474409989 497273121 948819978 994546242 1423229967 1528654409 2846459934 3057308818 4585963227 9171926454 13757889681 27515779362 41273669043 82547338086