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8281000016 = 241789342077
BaseRepresentation
bin1111011011001011…
…00000100001010000
3210101010011101110022
413231211200201100
5113424414000031
63445414323012
7412132224122
oct75545404120
923333141408
108281000016
11356a454973
121731359468
13a1c81aa13
14587b33212
1533700497b
hex1ed960850

8281000016 has 40 divisors (see below), whose sum is σ = 17179157160. Its totient is φ = 3853144064.

The previous prime is 8281000009. The next prime is 8281000019. The reversal of 8281000016 is 6100001828.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 8281000000 = 4^2 + 91000^2 .

It is a super-2 number, since 2×82810000162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8281000019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146831 + ... + 195246.

It is an arithmetic number, because the mean of its divisors is an integer number (429478929).

Almost surely, 28281000016 is an apocalyptic number.

It is an amenable number.

8281000016 is an abundant number, since it is smaller than the sum of its proper divisors (8898157144).

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

8281000016 is a wasteful number, since it uses less digits than its factorization.

8281000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342191 (or 342185 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 8281000016 is about 91000.0000879121. Note that the first 4 decimals coincide. The cubic root of 8281000016 is about 2023.1477258156.

It can be divided in two parts, 82810000 and 16, that multiplied together give a square (1324960000 = 364002).

The spelling of 8281000016 in words is "eight billion, two hundred eighty-one million, sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1424 1513 3026 6052 12104 24208 342077 684154 1368308 2736616 5473232 5815309 11630618 23261236 30444853 46522472 60889706 93044944 121779412 243558824 487117648 517562501 1035125002 2070250004 4140500008 8281000016