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288355038169 = 112488172
BaseRepresentation
bin1000011001000110100…
…11001011001111011001
31000120021221212200012111
410030203103023033121
514211022342210134
6340245105112321
726555464245322
oct4144323131731
91016257780174
10288355038169
111013219a1100
1247a756286a1
13212653c5553
14dd56743449
15777a1bec64
hex43234cb3d9

288355038169 has 9 divisors (see below), whose sum is σ = 316958724831. Its totient is φ = 262135573920.

The previous prime is 288355038157. The next prime is 288355038187. The reversal of 288355038169 is 961830553882.

The square root of 288355038169 is 536987.

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

It can be written as a sum of positive squares in only one way, i.e., 111713035225 + 176642002944 = 334235^2 + 420288^2 .

It is not a de Polignac number, because 288355038169 - 25 = 288355038137 is a prime.

It is a super-2 number, since 2×2883550381692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288355038109) 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 8 ways as a sum of consecutive naturals, for example, 5882449 + ... + 5931265.

Almost surely, 2288355038169 is an apocalyptic number.

288355038169 is the 536987-th square number.

288355038169 is the 268494-th centered octagonal number.

It is an amenable number.

288355038169 is a deficient number, since it is larger than the sum of its proper divisors (28603686662).

288355038169 is an frugal number, since it uses more digits than its factorization.

288355038169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97656 (or 48828 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 58.

The spelling of 288355038169 in words is "two hundred eighty-eight billion, three hundred fifty-five million, thirty-eight thousand, one hundred sixty-nine".

Divisors: 1 11 121 48817 536987 5906857 2383099489 26214094379 288355038169