Search a number
-
+
8168281016 = 2373131714843
BaseRepresentation
bin1111001101101111…
…00001001110111000
3210002021001200001112
413212313201032320
5113212034443031
63430310335452
7406263146240
oct74667411670
923067050045
108168281016
113511866475
1216bb65a588
13a02372b9c
14576b90b20
1532c18b62b
hex1e6de13b8

8168281016 has 64 divisors (see below), whose sum is σ = 18126305280. Its totient is φ = 3376851840.

The previous prime is 8168281007. The next prime is 8168281039. The reversal of 8168281016 is 6101828618.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 542891 + ... + 557733.

It is an arithmetic number, because the mean of its divisors is an integer number (283223520).

Almost surely, 28168281016 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 8168281016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9063152640).

8168281016 is an abundant number, since it is smaller than the sum of its proper divisors (9958024264).

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

8168281016 is a wasteful number, since it uses less digits than its factorization.

8168281016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15204 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 41.

The square root of 8168281016 is about 90378.5428959773. The cubic root of 8168281016 is about 2013.9262230847.

The spelling of 8168281016 in words is "eight billion, one hundred sixty-eight million, two hundred eighty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 317 434 634 868 1268 1736 2219 2536 4438 8876 9827 14843 17752 19654 29686 39308 59372 68789 78616 103901 118744 137578 207802 275156 415604 460133 550312 831208 920266 1840532 3220931 3681064 4705231 6441862 9410462 12883724 18820924 25767448 32936617 37641848 65873234 131746468 145862161 263492936 291724322 583448644 1021035127 1166897288 2042070254 4084140508 8168281016