Search a number
-
+
17298000000 = 273256312
BaseRepresentation
bin10000000111000010…
…101000100010000000
31122122112020110001200
4100013002220202000
5240411242000000
611540244101200
71151442400611
oct200702504200
948575213050
1017298000000
1173772a7476
123429094800
131828970a78
14ba14d1c08
156b393d500
hex4070a8880

17298000000 has 504 divisors, whose sum is σ = 64292048145. Its totient is φ = 4464000000.

The previous prime is 17297999989. The next prime is 17298000023. The reversal of 17298000000 is 89271.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 2949793344 + 14348206656 = 54312^2 + 119784^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=93000.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 557999985 + ... + 558000015.

Almost surely, 217298000000 is an apocalyptic number.

17298000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17298000000

17298000000 is an abundant number, since it is smaller than the sum of its proper divisors (46994048145).

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

17298000000 is an frugal number, since it uses more digits than its factorization.

17298000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 17298000000 its reverse (89271), we get a palindrome (17298089271).

The spelling of 17298000000 in words is "seventeen billion, two hundred ninety-eight million", and thus it is an aban number.