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243073650625 = 54132372412
BaseRepresentation
bin1110001001100001010…
…0011000111111000001
3212020102012221211222221
43202120110120333001
512440303323310000
6303355543531041
723363406640231
oct3423024307701
9766365854887
10243073650625
11940a5814473
123b138a59a81
1319bca102300
14ba9c987cc1
1564c9bec61a
hex3898518fc1

243073650625 has 135 divisors (see below), whose sum is σ = 346482654903. Its totient is φ = 170389440000.

The previous prime is 243073650613. The next prime is 243073650689. The reversal of 243073650625 is 526056370342.

The square root of 243073650625 is 493025.

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

It can be written as a sum of positive squares in 67 ways, for example, as 986049 + 243072664576 = 993^2 + 493024^2 .

It is not a de Polignac number, because 243073650625 - 211 = 243073648577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5928625605 + ... + 5928625645.

Almost surely, 2243073650625 is an apocalyptic number.

243073650625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

243073650625 is the 493025-th square number.

243073650625 is the 246513-rd centered octagonal number.

It is an amenable number.

243073650625 is a deficient number, since it is larger than the sum of its proper divisors (103409004278).

243073650625 is an frugal number, since it uses more digits than its factorization.

243073650625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 243073650625 in words is "two hundred forty-three billion, seventy-three million, six hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 37 41 65 125 169 185 205 325 481 533 625 845 925 1025 1369 1517 1625 1681 2405 2665 4225 4625 5125 6253 6845 6929 7585 8125 8405 12025 13325 17797 19721 21125 21853 23125 25625 31265 34225 34645 37925 42025 56129 60125 62197 66625 88985 98605 105625 109265 156325 171125 173225 189625 210125 231361 256373 280645 284089 300625 310985 333125 444925 493025 546325 729677 781625 808561 855625 866125 948125 1050625 1156805 1281865 1403225 1420445 1554925 2224625 2301289 2465125 2731625 3648385 3908125 4042805 4330625 5784025 6409325 7016125 7102225 7774625 9485801 10511293 11123125 11506445 12325625 13658125 18241925 20214025 28920125 29916757 32046625 35080625 35511125 38873125 47429005 52556465 57532225 91209625 101070125 144600625 149583785 160233125 177555625 237145025 262782325 287661125 388917841 456048125 505350625 747918925 1185725125 1313911625 1438305625 1944589205 3739594625 5928625625 6569558125 9722946025 18697973125 48614730125 243073650625