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36321507849 = 31111316675843
BaseRepresentation
bin100001110100111011…
…100011101000001001
310110202022022202220110
4201310323203220021
51043341301222344
624404051544533
72424036502614
oct416473435011
9113668282813
1036321507849
11144495a9490
127057bbb149
13356ac4c4a3
141a87c2917b
15e28abd3b9
hex874ee3a09

36321507849 has 32 divisors (see below), whose sum is σ = 53339917824. Its totient is φ = 21801409280.

The previous prime is 36321507821. The next prime is 36321507851. The reversal of 36321507849 is 94870512363.

It is a cyclic number.

It is not a de Polignac number, because 36321507849 - 212 = 36321503753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36321507798 and 36321507807.

It is not an unprimeable number, because it can be changed into a prime (36321507809) 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, 6213322 + ... + 6219164.

It is an arithmetic number, because the mean of its divisors is an integer number (1666872432).

It is a 3-persistent number, because k⋅36321507849 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 236321507849 is an apocalyptic number.

It is an amenable number.

36321507849 is a deficient number, since it is larger than the sum of its proper divisors (17018409975).

36321507849 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (36321507848) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (7637).

36321507849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 36321507849 in words is "thirty-six billion, three hundred twenty-one million, five hundred seven thousand, eight hundred forty-nine".

Divisors: 1 3 11 33 113 339 1243 1667 3729 5001 5843 17529 18337 55011 64273 188371 192819 565113 660259 1980777 2072081 6216243 7262849 9740281 21788547 29220843 107143091 321429273 1100651753 3301955259 12107169283 36321507849