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2118465695025 = 325219251072
BaseRepresentation
bin11110110100111110011…
…001010010110100110001
321111112010111221200201100
4132310332121102310301
5234202104204220100
64301113143555013
7306024361204101
oct36647631226461
97445114850640
102118465695025
11747488724969
122a26a5a5ba69
13124a02907b74
147476a123201
153a18d40e400
hex1ed3e652d31

2118465695025 has 81 divisors (see below), whose sum is σ = 4005408221451. Its totient is φ = 1070173075680.

The previous prime is 2118465694973. The next prime is 2118465695033. The reversal of 2118465695025 is 5205965648112.

The square root of 2118465695025 is 1455495.

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

2118465695025 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 4 + 6 + 569 + 50 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762647650209 + 1355818044816 = 873297^2 + 1164396^2 .

It is not a de Polignac number, because 2118465695025 - 213 = 2118465686833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 414813522 + ... + 414818628.

Almost surely, 22118465695025 is an apocalyptic number.

2118465695025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2118465695025 is the 1455495-th square number.

2118465695025 is the 727748-th centered octagonal number.

It is an amenable number.

2118465695025 is a deficient number, since it is larger than the sum of its proper divisors (1886942526426).

2118465695025 is an frugal number, since it uses more digits than its factorization.

2118465695025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 2118465695025 in words is "two trillion, one hundred eighteen billion, four hundred sixty-five million, six hundred ninety-five thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1425 1805 3249 4275 5107 5415 9025 15321 16245 25535 27075 45963 76605 81225 97033 127675 229815 291099 383025 485165 873297 1149075 1455495 1843627 2425825 4366485 5530881 7277475 9218135 16592643 21832425 26081449 27654405 46090675 78244347 82963215 130407245 138272025 234733041 391221735 414816075 495547531 652036225 1173665205 1486642593 1956108675 2477737655 4459927779 5868326025 7433212965 9415403089 12388688275 22299638895 28246209267 37166064825 47077015445 84738627801 111498194475 141231046335 235385077225 423693139005 706155231675 2118465695025