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17130648200 = 235285653241
BaseRepresentation
bin11111111010001000…
…01111001010001000
31122012212100002112212
433331010033022020
5240040421220300
611511505124252
71144341051521
oct177504171210
948185302485
1017130648200
1172a08935a6
1233a1029688
1318000a7c33
14b871ab848
156a3dd2935
hex3fd10f288

17130648200 has 24 divisors (see below), whose sum is σ = 39828757530. Its totient is φ = 6852259200.

The previous prime is 17130648191. The next prime is 17130648229. The reversal of 17130648200 is 284603171.

17130648200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10853889124 + 6276759076 = 104182^2 + 79226^2 .

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 5 ways as a sum of consecutive naturals, for example, 42826421 + ... + 42826820.

Almost surely, 217130648200 is an apocalyptic number.

17130648200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17130648200 is an abundant number, since it is smaller than the sum of its proper divisors (22698109330).

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

17130648200 is a wasteful number, since it uses less digits than its factorization.

17130648200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85653257 (or 85653248 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 17130648200 in words is "seventeen billion, one hundred thirty million, six hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 85653241 171306482 342612964 428266205 685225928 856532410 1713064820 2141331025 3426129640 4282662050 8565324100 17130648200