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82342424328 = 23310133969647
BaseRepresentation
bin100110010101111111…
…1011010111100001000
321212112120210120002120
41030223333122330020
52322114130034303
6101454431531240
75643344026023
oct1145377327410
9255476716076
1082342424328
1131a1517415a
1213b60389b20
1379c3512108
143db1ccc1ba
15221de70553
hex132bfdaf08

82342424328 has 32 divisors (see below), whose sum is σ = 207894245760. Its totient is φ = 27175716800.

The previous prime is 82342424317. The next prime is 82342424341.

82342424328 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82342424328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16982400 + ... + 16987247.

It is an arithmetic number, because the mean of its divisors is an integer number (6496695180).

Almost surely, 282342424328 is an apocalyptic number.

It is an amenable number.

82342424328 is an abundant number, since it is smaller than the sum of its proper divisors (125551821432).

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

82342424328 is a wasteful number, since it uses less digits than its factorization.

82342424328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33969757 (or 33969753 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 82342424328 in words is "eighty-two billion, three hundred forty-two million, four hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 33969647 67939294 101908941 135878588 203817882 271757176 407635764 815271528 3430934347 6861868694 10292803041 13723737388 20585606082 27447474776 41171212164 82342424328