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12002616673 = 1931149313649
BaseRepresentation
bin10110010110110100…
…10110010101100001
31010222111001002202021
423023122112111201
5144040132213143
65303001421441
7603302362345
oct131332262541
933874032667
1012002616673
1150aa189613
1223ab79a881
13119386c858
1481c0dd625
154a3adaced
hex2cb696561

12002616673 has 16 divisors (see below), whose sum is σ = 13051584000. Its totient is φ = 10995920640.

The previous prime is 12002616653. The next prime is 12002616707. The reversal of 12002616673 is 37661620021.

It is a happy number.

12002616673 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 12002616673 - 217 = 12002485601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002616623) 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, 872553 + ... + 886201.

It is an arithmetic number, because the mean of its divisors is an integer number (815724000).

Almost surely, 212002616673 is an apocalyptic number.

It is an amenable number.

12002616673 is a deficient number, since it is larger than the sum of its proper divisors (1048967327).

12002616673 is a wasteful number, since it uses less digits than its factorization.

12002616673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192.

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 12002616673 in words is "twelve billion, two million, six hundred sixteen thousand, six hundred seventy-three".

Divisors: 1 19 31 589 1493 13649 28367 46283 259331 423119 879377 8039261 20377957 387181183 631716667 12002616673