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9414986508225 = 325233726072
BaseRepresentation
bin1000100100000001100011…
…1011010010011111000001
31020100001201121010200210100
42021000120323102133001
52213223343021230400
632005103551353013
71661132066614134
oct211003073223701
936301647120710
109414986508225
112aaa967487a11
12108082bb22769
13533aa230207c
1424798b39a21b
15114d8ab22100
hex89018ed27c1

9414986508225 has 81 divisors (see below), whose sum is σ = 16941384806697. Its totient is φ = 4998178241280.

The previous prime is 9414986508211. The next prime is 9414986508251. The reversal of 9414986508225 is 5228056894149.

The square root of 9414986508225 is 3068385.

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

9414986508225 is a `hidden beast` number, since 9 + 4 + 1 + 49 + 86 + 508 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1303631882289 + 8111354625936 = 1141767^2 + 2848044^2 .

It is not a de Polignac number, because 9414986508225 - 29 = 9414986507713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15510685872 + ... + 15510686478.

Almost surely, 29414986508225 is an apocalyptic number.

9414986508225 is the 3068385-th square number.

9414986508225 is the 1534193-rd centered octagonal number.

It is an amenable number.

9414986508225 is a deficient number, since it is larger than the sum of its proper divisors (7526398298472).

9414986508225 is an frugal number, since it uses more digits than its factorization.

9414986508225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 9414986508225 in words is "nine trillion, four hundred fourteen billion, nine hundred eighty-six million, five hundred eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 337 607 1011 1685 1821 3033 3035 5055 5463 8425 9105 15165 15175 25275 27315 45525 75825 113569 136575 204559 340707 368449 567845 613677 1022121 1022795 1105347 1703535 1841031 1842245 2839225 3068385 3316041 5110605 5113975 5526735 8517675 9205155 9211225 15341925 16580205 25553025 27633675 46025775 68936383 82901025 124167313 206809149 344681915 372501939 620427447 620836565 1034045745 1117505817 1723409575 1862509695 3102137235 3104182825 5170228725 5587529085 9312548475 15510686175 27937645425 41844384481 125533153443 209221922405 376599460329 627665767215 1046109612025 1882997301645 3138328836075 9414986508225