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82209607033352 = 231719313101644931
BaseRepresentation
bin10010101100010011101010…
…011011001010001000001000
3101210002011100212022102022112
4102230103222123022020020
541233410233400031402
6450502323323441452
723213306462035121
oct2254235233121010
9353064325272275
1082209607033352
1124215997a74507
129278933086288
1336b4442b84a76
141642d753d5048
159786d94c3e52
hex4ac4ea6ca208

82209607033352 has 64 divisors (see below), whose sum is σ = 172349146699200. Its totient is φ = 36533627320320.

The previous prime is 82209607033297. The next prime is 82209607033373. The reversal of 82209607033352 is 25333070690228.

82209607033352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 82209607033352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50013674 + ... + 51631257.

It is an arithmetic number, because the mean of its divisors is an integer number (2692955417175).

Almost surely, 282209607033352 is an apocalyptic number.

It is an amenable number.

82209607033352 is an abundant number, since it is smaller than the sum of its proper divisors (90139539665848).

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

82209607033352 is a wasteful number, since it uses less digits than its factorization.

82209607033352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101645286 (or 101645282 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 82209607033352 in words is "eighty-two trillion, two hundred nine billion, six hundred seven million, thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 313 323 626 646 1252 1292 2504 2584 5321 5947 10642 11894 21284 23788 42568 47576 101099 202198 404396 808792 101644931 203289862 406579724 813159448 1727963827 1931253689 3455927654 3862507378 6911855308 7725014756 13823710616 15450029512 31814863403 32831312713 63629726806 65662625426 127259453612 131325250852 254518907224 262650501704 540852677851 604482404657 1081705355702 1208964809314 2163410711404 2417929618628 4326821422808 4835859237256 10276200879169 20552401758338 41104803516676 82209607033352