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128229164281 = 43328272
BaseRepresentation
bin111011101101100001…
…1011100010011111001
3110020222111210110200201
41313123003130103321
54100103131224111
6134524020002201
712156431625001
oct1673303342371
9406874713621
10128229164281
114a422025039
1220a27830361
13c12705624a
1462c6225001
15350766b6c1
hex1ddb0dc4f9

128229164281 has 9 divisors (see below), whose sum is σ = 128681589711. Its totient is φ = 127778327712.

The previous prime is 128229164249. The next prime is 128229164299. The reversal of 128229164281 is 182461922821.

It is a happy number.

The square root of 128229164281 is 358091.

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., 14379607225 + 113849557056 = 119915^2 + 337416^2 .

It is not a de Polignac number, because 128229164281 - 25 = 128229164249 is a prime.

It is a super-2 number, since 2×1282291642812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128229164881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155052990 + ... + 155053816.

Almost surely, 2128229164281 is an apocalyptic number.

128229164281 is the 358091-st square number.

128229164281 is the 179046-th centered octagonal number.

It is an amenable number.

128229164281 is a deficient number, since it is larger than the sum of its proper divisors (452425430).

128229164281 is an frugal number, since it uses more digits than its factorization.

128229164281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 1260 counting only the distinct ones).

The product of its digits is 221184, while the sum is 46.

The spelling of 128229164281 in words is "one hundred twenty-eight billion, two hundred twenty-nine million, one hundred sixty-four thousand, two hundred eighty-one".

Divisors: 1 433 827 187489 358091 683929 155053403 296141257 128229164281