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985818768 = 2431110318127
BaseRepresentation
bin111010110000100…
…110011010010000
32112200222210010020
4322300212122100
54004332200033
6241453303440
733300215124
oct7260463220
92480883106
10985818768
11466518260
12236194b80
1312931341c
1494cd9584
155b82e6b3
hex3ac26690

985818768 has 80 divisors (see below), whose sum is σ = 2805344256. Its totient is φ = 295816320.

The previous prime is 985818767. The next prime is 985818803. The reversal of 985818768 is 867818589.

It is not an unprimeable number, because it can be changed into a prime (985818761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45321 + ... + 63447.

Almost surely, 2985818768 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 985818768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402672128).

985818768 is an abundant number, since it is smaller than the sum of its proper divisors (1819525488).

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

985818768 is a wasteful number, since it uses less digits than its factorization.

985818768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18252 (or 18246 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 60.

The square root of 985818768 is about 31397.7510022613. The cubic root of 985818768 is about 995.2503996784.

The spelling of 985818768 in words is "nine hundred eighty-five million, eight hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 618 824 1133 1236 1648 2266 2472 3399 4532 4944 6798 9064 13596 18127 18128 27192 36254 54381 54384 72508 108762 145016 199397 217524 290032 398794 435048 598191 797588 870096 1196382 1595176 1867081 2392764 3190352 3734162 4785528 5601243 7468324 9571056 11202486 14936648 20537891 22404972 29873296 41075782 44809944 61613673 82151564 89619888 123227346 164303128 246454692 328606256 492909384 985818768