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3725081422209 = 327273212592
BaseRepresentation
bin110110001101010000001…
…001111010100110000001
3111012010002022212221021100
4312031100021322212001
5442012431321002314
611531140114445013
7533061663440400
oct66152011724601
914163068787240
103725081422209
111206886394084
12501b42293769
13210373340b74
14cc41b2db637
1566d70703c09
hex3635027a981

3725081422209 has 81 divisors (see below), whose sum is σ = 6351111313443. Its totient is φ = 2097791244864.

The previous prime is 3725081422201. The next prime is 3725081422241. The reversal of 3725081422209 is 9022241805273.

The square root of 3725081422209 is 1930047.

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

3725081422209 is a `hidden beast` number, since 37 + 250 + 8 + 142 + 220 + 9 = 666.

3725081422209 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2114537681025 + 1610543741184 = 1454145^2 + 1269072^2 .

It is not a de Polignac number, because 3725081422209 - 23 = 3725081422201 is a prime.

It is a super-2 number, since 2×37250814222092 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3725081422201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2958761422 + ... + 2958762680.

Almost surely, 23725081422209 is an apocalyptic number.

3725081422209 is the 1930047-th square number.

3725081422209 is the 965024-th centered octagonal number.

It is an amenable number.

3725081422209 is a deficient number, since it is larger than the sum of its proper divisors (2626029891234).

3725081422209 is an frugal number, since it uses more digits than its factorization.

3725081422209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3725081422209 in words is "three trillion, seven hundred twenty-five billion, eighty-one million, four hundred twenty-two thousand, two hundred nine".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1259 1533 3577 3777 4599 5329 8813 10731 11331 15987 26439 32193 37303 47961 61691 79317 91907 111909 185073 261121 275721 335727 555219 643349 783363 827163 1585081 1930047 2350089 4503443 4755243 5790141 6709211 11095567 13510329 14265729 20127633 33286701 40530987 46964477 60382899 77668969 99860103 115710913 140893431 233006907 328751339 347132739 422680293 699020721 809976391 986254017 1041398217 2429929173 2958762051 5669834737 7289787519 8446896649 17009504211 25340689947 51028512633 59128276543 76022069841 177384829629 413897935801 532154488887 1241693807403 3725081422209