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853136989344 = 2536360710139
BaseRepresentation
bin11000110101000101110…
…11010101110010100000
310000120002120202111000000
430122202323111302200
5102434211032124334
61451531542300000
7115431346521213
oct14324273256240
93016076674000
10853136989344
112a98a4653322
12119415a27600
13625b18c57c3
142d41355b77a
15172d328a299
hexc6a2ed5ca0

853136989344 has 168 divisors, whose sum is σ = 2519214778080. Its totient is φ = 284272115328.

The previous prime is 853136989321. The next prime is 853136989361. The reversal of 853136989344 is 443989631358.

853136989344 is a `hidden beast` number, since 8 + 531 + 3 + 6 + 9 + 8 + 93 + 4 + 4 = 666.

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 27 ways as a sum of consecutive naturals, for example, 84139027 + ... + 84149165.

It is an arithmetic number, because the mean of its divisors is an integer number (14995326060).

Almost surely, 2853136989344 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 853136989344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259607389040).

853136989344 is an abundant number, since it is smaller than the sum of its proper divisors (1666077788736).

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

853136989344 is a wasteful number, since it uses less digits than its factorization.

853136989344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13774 (or 13751 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 853136989344 in words is "eight hundred fifty-three billion, one hundred thirty-six million, nine hundred eighty-nine thousand, three hundred forty-four".