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14726993121 = 3217293319133
BaseRepresentation
bin11011011011100110…
…00001010011100001
31102000100102202122200
431231303001103201
5220130102234441
610433202323413
71030643243001
oct155563012341
942010382580
1014726993121
1162780049a5
122a30059569
13150910c719
149d9c7a001
155b2d887b6
hex36dcc14e1

14726993121 has 24 divisors (see below), whose sum is σ = 23300320680. Its totient is φ = 8921826816.

The previous prime is 14726993101. The next prime is 14726993129. The reversal of 14726993121 is 12139962741.

14726993121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5135728896 + 9591264225 = 71664^2 + 97935^2 .

It is not a de Polignac number, because 14726993121 - 27 = 14726992993 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14726993129) 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 23 ways as a sum of consecutive naturals, for example, 1655130 + ... + 1664003.

It is an arithmetic number, because the mean of its divisors is an integer number (970846695).

Almost surely, 214726993121 is an apocalyptic number.

It is an amenable number.

14726993121 is a deficient number, since it is larger than the sum of its proper divisors (8573327559).

14726993121 is a wasteful number, since it uses less digits than its factorization.

14726993121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319185 (or 3319182 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 14726993121 in words is "fourteen billion, seven hundred twenty-six million, nine hundred ninety-three thousand, one hundred twenty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 3319133 9957399 29872197 56425261 96254857 169275783 288764571 507827349 866293713 1636332569 4908997707 14726993121