Search a number
-
+
8173501056 = 273272294993
BaseRepresentation
bin1111001110010110…
…11011101010000000
3210002121212212121100
413213023123222000
5113214404013211
63431014254400
7406355420100
oct74713335200
923077785540
108173501056
113514801356
121701357400
13a0347cb76
1457774d200
1532c86d156
hex1e72dba80

8173501056 has 288 divisors, whose sum is σ = 28309238100. Its totient is φ = 2254307328.

The previous prime is 8173501031. The next prime is 8173501067. The reversal of 8173501056 is 6501053718.

8173501056 is a `hidden beast` number, since 81 + 73 + 501 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8138926656 + 34574400 = 90216^2 + 5880^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×81735010562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8173501056.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1634496 + ... + 1639488.

Almost surely, 28173501056 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 8173501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154619050).

8173501056 is an abundant number, since it is smaller than the sum of its proper divisors (20135737044).

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

8173501056 is a wasteful number, since it uses less digits than its factorization.

8173501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 8173501056 is about 90407.4170408601. The cubic root of 8173501056 is about 2014.3551398003.

The spelling of 8173501056 in words is "eight billion, one hundred seventy-three million, five hundred one thousand, fifty-six".