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128296161 = 327217109157
BaseRepresentation
bin1111010010110…
…10010011100001
322221102010020200
413221122103201
5230320434121
620421455413
73115333200
oct751322341
9287363220
10128296161
1166468894
1236b71569
13207700b6
1413079237
15b3e3a26
hex7a5a4e1

128296161 has 72 divisors (see below), whose sum is σ = 231814440. Its totient is φ = 67931136.

The previous prime is 128296153. The next prime is 128296163. The reversal of 128296161 is 161692821.

128296161 is a `hidden beast` number, since 12 + 8 + 29 + 616 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33350625 + 94945536 = 5775^2 + 9744^2 .

It is not a de Polignac number, because 128296161 - 23 = 128296153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128296163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 817095 + ... + 817251.

It is an arithmetic number, because the mean of its divisors is an integer number (3219645).

Almost surely, 2128296161 is an apocalyptic number.

It is an amenable number.

128296161 is a deficient number, since it is larger than the sum of its proper divisors (103518279).

128296161 is a wasteful number, since it uses less digits than its factorization.

128296161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 128296161 is about 11326.7895274875. The cubic root of 128296161 is about 504.3568075232.

The spelling of 128296161 in words is "one hundred twenty-eight million, two hundred ninety-six thousand, one hundred sixty-one".

Divisors: 1 3 7 9 17 21 49 51 63 109 119 147 153 157 327 357 441 471 763 833 981 1071 1099 1413 1853 2289 2499 2669 3297 5341 5559 6867 7497 7693 8007 9891 12971 16023 16677 17113 18683 23079 24021 38913 48069 51339 56049 69237 90797 116739 119791 130781 154017 168147 272391 290921 359373 392343 817173 838537 872763 1078119 1177029 2036447 2515611 2618289 6109341 7546833 14255129 18328023 42765387 128296161