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272894446449 = 32172102432
BaseRepresentation
bin1111111000100111000…
…1101100101101110001
3222002101111001020110100
43332021301230231301
513432341434241244
6325211015023013
725500402344022
oct3761161545561
9862344036410
10272894446449
11a5808889779
1244a7b96aa69
131c970311821
14d2cb2a4c49
157172c28b69
hex3f89c6cb71

272894446449 has 27 divisors (see below), whose sum is σ = 418772808363. Its totient is φ = 171211171392.

The previous prime is 272894446421. The next prime is 272894446453. The reversal of 272894446449 is 944644498272.

The square root of 272894446449 is 522393.

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

272894446449 is a `hidden beast` number, since 2 + 72 + 89 + 4 + 4 + 46 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 212461074225 + 60433372224 = 460935^2 + 245832^2 .

It is not a de Polignac number, because 272894446449 - 227 = 272760228721 is a prime.

It is a super-2 number, since 2×2728944464492 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (272894446249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26636922 + ... + 26647164.

Almost surely, 2272894446449 is an apocalyptic number.

272894446449 is the 522393-rd square number.

272894446449 is the 261197-th centered octagonal number.

It is an amenable number.

272894446449 is a deficient number, since it is larger than the sum of its proper divisors (145878361914).

272894446449 is an frugal number, since it uses more digits than its factorization.

272894446449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526 (or 10263 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 272894446449 in words is "two hundred seventy-two billion, eight hundred ninety-four million, four hundred forty-six thousand, four hundred forty-nine".

Divisors: 1 3 9 17 51 153 289 867 2601 10243 30729 92187 174131 522393 1567179 2960227 8880681 26642043 104919049 314757147 944271441 1783623833 5350871499 16052614497 30321605161 90964815483 272894446449