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8188964082 = 234133888397
BaseRepresentation
bin1111010000001100…
…11010110011110010
3210010200222110220000
413220012122303302
5113232333322312
63432325530430
7406634021565
oct75006326362
923120873800
108188964082
113522502a12
121706573a16
13a067351a0
145798164dc
1532ddc4adc
hex1e819acf2

8188964082 has 40 divisors (see below), whose sum is σ = 19760838636. Its totient is φ = 2519680608.

The previous prime is 8188964057. The next prime is 8188964087. The reversal of 8188964082 is 2804698818.

It can be written as a sum of positive squares in 2 ways, for example, as 7670081241 + 518882841 = 87579^2 + 22779^2 .

It is a super-2 number, since 2×81889640822 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8188964087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1942093 + ... + 1946304.

Almost surely, 28188964082 is an apocalyptic number.

8188964082 is an abundant number, since it is smaller than the sum of its proper divisors (11571874554).

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

8188964082 is a wasteful number, since it uses less digits than its factorization.

8188964082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888424 (or 3888415 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 8188964082 is about 90492.8952017781. The cubic root of 8188964082 is about 2015.6246245191.

The spelling of 8188964082 in words is "eight billion, one hundred eighty-eight million, nine hundred sixty-four thousand, eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 3888397 7776794 11665191 23330382 34995573 50549161 69991146 101098322 104986719 151647483 209973438 303294966 314960157 454942449 629920314 909884898 1364827347 2729654694 4094482041 8188964082