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536406366225 = 35212795359093
BaseRepresentation
bin1111100111001000100…
…11111001100000010001
31220021120002012201221210
413303210103321200101
532242030012204400
61050231030010333
753516435611632
oct7634423714021
91807502181853
10536406366225
11197541456274
1287b614a69a9
133b77683bb02
141bd6841b889
15de46db4950
hex7ce44f9811

536406366225 has 48 divisors (see below), whose sum is σ = 894794729472. Its totient is φ = 283528143360.

The previous prime is 536406366211. The next prime is 536406366227. The reversal of 536406366225 is 522663604635.

It is a happy number.

It is not a de Polignac number, because 536406366225 - 217 = 536406235153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (536406366227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9047779 + ... + 9106871.

It is an arithmetic number, because the mean of its divisors is an integer number (18641556864).

Almost surely, 2536406366225 is an apocalyptic number.

It is an amenable number.

536406366225 is a deficient number, since it is larger than the sum of its proper divisors (358388363247).

536406366225 is a wasteful number, since it uses less digits than its factorization.

536406366225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60186 (or 60181 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 536406366225 in words is "five hundred thirty-six billion, four hundred six million, three hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 127 381 635 953 1905 2859 3175 4765 9525 14295 23825 59093 71475 121031 177279 295465 363093 605155 886395 1477325 1815465 3025775 4431975 7504811 9077325 22514433 37524055 56315629 112572165 168946887 187620275 281578145 562860825 844734435 1407890725 4223672175 7152084883 21456254649 35760424415 107281273245 178802122075 536406366225