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328755897667129 = 15121200772
BaseRepresentation
bin100101011000000000111001…
…0011111111000111000111001
31121010000202102202121121002211
41022300001302133320320321
5321042314034300322004
63123112212512455121
7126150554421626302
oct11260016237707071
91533022382547084
10328755897667129
119582a658647aa9
1230a57118b4a4a1
1311159718305aca
145b27c283397a9
152801a66c29504
hex12b00727f8e39

328755897667129 has 9 divisors (see below), whose sum is σ = 330950263678671. Its totient is φ = 326575986547800.

The previous prime is 328755897667039. The next prime is 328755897667157. The reversal of 328755897667129 is 921766798557823.

The square root of 328755897667129 is 18131627.

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., 324814290986025 + 3941606681104 = 18022605^2 + 1985348^2 .

It is not a de Polignac number, because 328755897667129 - 223 = 328755889278521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (328755837667129) 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, 2737815639 + ... + 2737935715.

Almost surely, 2328755897667129 is an apocalyptic number.

328755897667129 is the 18131627-th square number.

328755897667129 is the 9065814-th centered octagonal number.

It is an amenable number.

328755897667129 is a deficient number, since it is larger than the sum of its proper divisors (2194366011542).

328755897667129 is an frugal number, since it uses more digits than its factorization.

328755897667129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240456 (or 120228 counting only the distinct ones).

The product of its digits is 19203609600, while the sum is 85.

The spelling of 328755897667129 in words is "three hundred twenty-eight trillion, seven hundred fifty-five billion, eight hundred ninety-seven million, six hundred sixty-seven thousand, one hundred twenty-nine".

Divisors: 1 151 22801 120077 18131627 2737875677 14418485929 2177191375279 328755897667129