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17152355089 = 1926121132
BaseRepresentation
bin11111111100101110…
…00010101100010001
31122021101011220210201
433332113002230101
5240112000330324
611514002255201
71145023420102
oct177627025421
948241156721
1017152355089
11730206a281
1233a8357501
13180473824c
14b8a01c3a9
156a5c6e444
hex3fe5c2b11

17152355089 has 27 divisors (see below), whose sum is σ = 18568564209. Its totient is φ = 15841768320.

The previous prime is 17152355069. The next prime is 17152355107. The reversal of 17152355089 is 98055325171.

The square root of 17152355089 is 130967.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15511457025 + 1640898064 = 124545^2 + 40508^2 .

It is not a de Polignac number, because 17152355089 - 217 = 17152224017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17152355029) 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 26 ways as a sum of consecutive naturals, for example, 151790697 + ... + 151790809.

Almost surely, 217152355089 is an apocalyptic number.

17152355089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

17152355089 is the 130967-th square number.

17152355089 is the 65484-th centered octagonal number.

It is an amenable number.

17152355089 is a deficient number, since it is larger than the sum of its proper divisors (1416209120).

17152355089 is an frugal number, since it uses more digits than its factorization.

17152355089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 46.

The spelling of 17152355089 in words is "seventeen billion, one hundred fifty-two million, three hundred fifty-five thousand, eighty-nine".

Divisors: 1 19 61 113 361 1159 2147 3721 6893 12769 22021 40793 70699 130967 242611 420473 778909 1343281 2488373 4609609 7988987 14799271 47513449 151790753 281186149 902755531 17152355089