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85084334356 = 22729143972817
BaseRepresentation
bin100111100111101101…
…0111110100100010100
322010121200012000112211
41033033122332210110
52343223042144411
6103030500323204
76101316623560
oct1171732764424
9263550160484
1085084334356
11330a19857aa
12145a66a3504
13803c5b0898
1441921106a0
15232ea33221
hex13cf6be914

85084334356 has 48 divisors (see below), whose sum is σ = 176161305600. Its totient is φ = 35182361088.

The previous prime is 85084334353. The next prime is 85084334369. The reversal of 85084334356 is 65343348058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85084334351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132060 + ... + 1204876.

It is an arithmetic number, because the mean of its divisors is an integer number (3670027200).

Almost surely, 285084334356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85084334356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080652800).

85084334356 is an abundant number, since it is smaller than the sum of its proper divisors (91076971244).

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

85084334356 is a wasteful number, since it uses less digits than its factorization.

85084334356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74296 (or 74294 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

The spelling of 85084334356 in words is "eighty-five billion, eighty-four million, three hundred thirty-four thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1439 2878 5756 10073 20146 40292 41731 72817 83462 145634 166924 291268 292117 509719 584234 1019438 1168468 2038876 2111693 4223386 8446772 14781851 29563702 59127404 104783663 209567326 419134652 733485641 1466971282 2933942564 3038726227 6077452454 12154904908 21271083589 42542167178 85084334356