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13082461406 = 273759676389
BaseRepresentation
bin11000010111100011…
…01000010011011110
31020202201221220020122
430023301220103132
5203243102231111
610002054314542
7642124041620
oct141361502336
936681856218
1013082461406
115603787983
122651358a52
1313064b4531
148c16b2c10
155187decdb
hex30bc684de

13082461406 has 64 divisors (see below), whose sum is σ = 23776934400. Its totient is φ = 5281905024.

The previous prime is 13082461393. The next prime is 13082461409. The reversal of 13082461406 is 60416428031.

13082461406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13082461409) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2044460 + ... + 2050848.

It is an arithmetic number, because the mean of its divisors is an integer number (371514600).

Almost surely, 213082461406 is an apocalyptic number.

13082461406 is a deficient number, since it is larger than the sum of its proper divisors (10694472994).

13082461406 is a wasteful number, since it uses less digits than its factorization.

13082461406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561.

The product of its (nonzero) digits is 27648, while the sum is 35.

Adding to 13082461406 its reverse (60416428031), we get a palindrome (73498889437).

The spelling of 13082461406 in words is "thirteen billion, eighty-two million, four hundred sixty-one thousand, four hundred six".

Divisors: 1 2 7 14 37 59 67 74 118 134 259 413 469 518 826 938 2183 2479 3953 4366 4958 6389 7906 12778 15281 17353 27671 30562 34706 44723 55342 89446 146261 236393 292522 376951 428063 472786 753902 856126 1023827 1654751 2047654 2638657 2996441 3309502 5277314 5992882 13947187 15838331 25255717 27894374 31676662 50511434 97630309 110868317 176790019 195260618 221736634 353580038 934461529 1868923058 6541230703 13082461406