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12727106833 = 72379050353
BaseRepresentation
bin10111101101001100…
…00011110100010001
31012211222022000102011
423312212003310101
5202031114404313
65502522022521
7630250423510
oct136646036421
935758260364
1012727106833
115441135811
122572347a41
13127a9a505c
1488a410677
154e74e993d
hex2f6983d11

12727106833 has 8 divisors (see below), whose sum is σ = 15177667968. Its totient is φ = 10434646464.

The previous prime is 12727106807. The next prime is 12727106869. The reversal of 12727106833 is 33860172721.

It is a happy number.

12727106833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12727106833 - 221 = 12725009681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12727100833) 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 7 ways as a sum of consecutive naturals, for example, 39525016 + ... + 39525337.

It is an arithmetic number, because the mean of its divisors is an integer number (1897208496).

Almost surely, 212727106833 is an apocalyptic number.

It is an amenable number.

12727106833 is a deficient number, since it is larger than the sum of its proper divisors (2450561135).

12727106833 is an equidigital number, since it uses as much as digits as its factorization.

12727106833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79050383.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 12727106833 in words is "twelve billion, seven hundred twenty-seven million, one hundred six thousand, eight hundred thirty-three".

Divisors: 1 7 23 161 79050353 553352471 1818158119 12727106833