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82164959730522 = 2333320345826381
BaseRepresentation
bin10010101011101010000101…
…001111001101101101011010
3101202220220010022112102211000
4102223222011033031231122
541232142314142334042
6450430021133045430
723210136204156354
oct2253520517155532
9352826108472730
1082164959730522
11241a8a66806029
129270152926876
1336b0179062696
141640b3b9360d4
15977474a0374c
hex4aba853cdb5a

82164959730522 has 32 divisors (see below), whose sum is σ = 182594302551360. Its totient is φ = 27387494437680.

The previous prime is 82164959730407. The next prime is 82164959730571. The reversal of 82164959730522 is 22503795946128.

82164959730522 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 4 + 9 + 597 + 30 + 5 + 2 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82164959730522.

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, 21120229 + ... + 24706152.

It is an arithmetic number, because the mean of its divisors is an integer number (5706071954730).

It is a 1-persistent number, because it is pandigital, but 2⋅82164959730522 = 164329919461044 is not.

Almost surely, 282164959730522 is an apocalyptic number.

82164959730522 is an abundant number, since it is smaller than the sum of its proper divisors (100429342820838).

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

82164959730522 is a wasteful number, since it uses less digits than its factorization.

82164959730522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45859595 (or 45859589 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 82164959730522 in words is "eighty-two trillion, one hundred sixty-four billion, nine hundred fifty-nine million, seven hundred thirty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 33203 66406 99609 199218 298827 597654 896481 1792962 45826381 91652762 137479143 274958286 412437429 824874858 1237312287 2474624574 1521573328343 3043146656686 4564719985029 9129439970058 13694159955087 27388319910174 41082479865261 82164959730522