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82323312548085 = 3357145359955001
BaseRepresentation
bin10010101101111101100011…
…110011010001100011110101
3101210111000212012022001022000
4102231331203303101203311
541242241121003014320
6451030450243325513
723224443300001410
oct2255754363214365
9353430765261260
1082323312548085
112425a136850694
129296986980899
1336c2093c8672b
141648680792b77
1597b641a71c90
hex4adf63cd18f5

82323312548085 has 64 divisors (see below), whose sum is σ = 167375179983360. Its totient is φ = 37607613120000.

The previous prime is 82323312547891. The next prime is 82323312548093. The reversal of 82323312548085 is 58084521332328.

82323312548085 is a `hidden beast` number, since 8 + 2 + 3 + 2 + 3 + 3 + 12 + 548 + 0 + 85 = 666.

It is not a de Polignac number, because 82323312548085 - 29 = 82323312547573 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28604416 + ... + 31350585.

It is an arithmetic number, because the mean of its divisors is an integer number (2615237187240).

Almost surely, 282323312548085 is an apocalyptic number.

It is an amenable number.

82323312548085 is an abundant number, since it is smaller than the sum of its proper divisors (85051867435275).

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

82323312548085 is a wasteful number, since it uses less digits than its factorization.

82323312548085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59956475 (or 59956469 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 82323312548085 in words is "eighty-two trillion, three hundred twenty-three billion, three hundred twelve million, five hundred forty-eight thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1453 4359 7265 10171 13077 21795 30513 39231 50855 65385 91539 152565 196155 274617 457695 1373085 59955001 179865003 299775005 419685007 539595009 899325015 1259055021 1618785027 2098425035 2697975045 3777165063 6295275105 8093925135 11331495189 18885825315 56657475945 87114616453 261343849359 435573082265 609802315171 784031548077 1306719246795 1829406945513 2352094644231 3049011575855 3920157740385 5488220836539 9147034727565 11760473221155 16464662509617 27441104182695 82323312548085