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8185154068 = 22713293125013
BaseRepresentation
bin1111001111101111…
…11000101000010100
3210010102210220112101
413213313320220110
5113230344412233
63432112131444
7406556442640
oct74767705024
923112726471
108185154068
113520340443
121705236b84
13a059ccc40
14579103c20
1532d8c0c7d
hex1e7df8a14

8185154068 has 96 divisors (see below), whose sum is σ = 18826536960. Its totient is φ = 3025451520.

The previous prime is 8185154063. The next prime is 8185154083. The reversal of 8185154068 is 8604515818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8185154063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 314730 + ... + 339742.

It is an arithmetic number, because the mean of its divisors is an integer number (196109760).

Almost surely, 28185154068 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 8185154068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9413268480).

8185154068 is an abundant number, since it is smaller than the sum of its proper divisors (10641382892).

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

8185154068 is a wasteful number, since it uses less digits than its factorization.

8185154068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25097 (or 25095 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 46.

The square root of 8185154068 is about 90471.8412988262. The cubic root of 8185154068 is about 2015.3119781627.

The spelling of 8185154068 in words is "eight billion, one hundred eighty-five million, one hundred fifty-four thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 29 31 52 58 62 91 116 124 182 203 217 364 377 403 406 434 754 806 812 868 899 1508 1612 1798 2639 2821 3596 5278 5642 6293 10556 11284 11687 12586 23374 25013 25172 46748 50026 81809 100052 163618 175091 325169 327236 350182 650338 700364 725377 775403 1300676 1450754 1550806 2276183 2901508 3101612 4552366 5077639 5427821 9104732 9429901 10080239 10155278 10855642 18859802 20160478 20310556 21711284 22486687 37719604 40320956 44973374 66009307 70561673 89946748 132018614 141123346 157406809 264037228 282246692 292326931 314813618 584653862 629627236 1169307724 2046288517 4092577034 8185154068