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852483609168 = 243113199789793
BaseRepresentation
bin11000110011110111111…
…10111001001001010000
310000111102001022022220020
430121323332321021100
5102431341300443133
61451343042143440
7115406224055562
oct14317376711120
93014361268806
10852483609168
112a9599856104
12119273051b80
136250942a109
142d39087b332
1517295c260b3
hexc67bfb9250

852483609168 has 80 divisors (see below), whose sum is σ = 2232905596800. Its totient is φ = 280230838272.

The previous prime is 852483609121. The next prime is 852483609209. The reversal of 852483609168 is 861906384258.

It is a congruent number.

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, 684480 + ... + 1474272.

It is an arithmetic number, because the mean of its divisors is an integer number (27911319960).

Almost surely, 2852483609168 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 852483609168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116452798400).

852483609168 is an abundant number, since it is smaller than the sum of its proper divisors (1380421987632).

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

852483609168 is a wasteful number, since it uses less digits than its factorization.

852483609168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790116 (or 790110 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 852483609168 in words is "eight hundred fifty-two billion, four hundred eighty-three million, six hundred nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 199 226 339 398 452 597 678 796 904 1194 1356 1592 1808 2388 2712 3184 4776 5424 9552 22487 44974 67461 89948 134922 179896 269844 359792 539688 789793 1079376 1579586 2369379 3159172 4738758 6318344 9477516 12636688 18955032 37910064 89246609 157168807 178493218 267739827 314337614 356986436 471506421 535479654 628675228 713972872 943012842 1070959308 1257350456 1427945744 1886025684 2141918616 2514700912 3772051368 4283837232 7544102736 17760075191 35520150382 53280225573 71040300764 106560451146 142080601528 213120902292 284161203056 426241804584 852483609168