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12820437605 = 567379710079
BaseRepresentation
bin10111111000010100…
…00101101001100101
31020002110220201011102
423330022011221211
5202224013000410
65520054245445
7632462631053
oct137412055145
936073821142
1012820437605
115489891588
122599656885
131294122071
148989871d3
155007d32a5
hex2fc285a65

12820437605 has 16 divisors (see below), whose sum is σ = 15619806720. Its totient is φ = 10099607232.

The previous prime is 12820437601. The next prime is 12820437611. The reversal of 12820437605 is 50673402821.

It is a happy number.

12820437605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12820437605 - 22 = 12820437601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820437601) 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 15 ways as a sum of consecutive naturals, for example, 1266956 + ... + 1277034.

It is an arithmetic number, because the mean of its divisors is an integer number (976237920).

Almost surely, 212820437605 is an apocalyptic number.

It is an amenable number.

12820437605 is a deficient number, since it is larger than the sum of its proper divisors (2799369115).

12820437605 is a wasteful number, since it uses less digits than its factorization.

12820437605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 12820437605 in words is "twelve billion, eight hundred twenty million, four hundred thirty-seven thousand, six hundred five".

Divisors: 1 5 67 335 3797 10079 18985 50395 254399 675293 1271995 3376465 38269963 191349815 2564087521 12820437605