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39287385241225 = 521121139632
BaseRepresentation
bin10001110111011010011101…
…01001000011011010001001
312011002211121102112110201121
420323231032221003122021
520122141031110204400
6215320213044515241
711163264013404562
oct1073551651033211
9164084542473647
1039287385241225
1111577760826500
1244a61a99abb21
1318bca27800824
1499b73ba8b169
15481e4d45d21a
hex23bb4ea43689

39287385241225 has 27 divisors (see below), whose sum is σ = 53548201889959. Its totient is φ = 28572393093200.

The previous prime is 39287385241207. The next prime is 39287385241229. The reversal of 39287385241225 is 52214258378293.

The square root of 39287385241225 is 6267965.

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

39287385241225 is digitally balanced in base 2, 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., 14143458686841 + 25143926554384 = 3760779^2 + 5014372^2 .

It is not a de Polignac number, because 39287385241225 - 221 = 39287383144073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39287385241229) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 344681094 + ... + 344795056.

Almost surely, 239287385241225 is an apocalyptic number.

39287385241225 is the 6267965-th square number.

39287385241225 is the 3133983-rd centered octagonal number.

It is an amenable number.

39287385241225 is a deficient number, since it is larger than the sum of its proper divisors (14260816648734).

39287385241225 is an frugal number, since it uses more digits than its factorization.

39287385241225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227958 (or 113979 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 61.

The spelling of 39287385241225 in words is "thirty-nine trillion, two hundred eighty-seven billion, three hundred eighty-five million, two hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 113963 569815 1253593 2849075 6267965 13789523 31339825 68947615 344738075 12987565369 64937826845 142863219059 324689134225 714316095295 1571495409649 3571580476475 7857477048245 39287385241225