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13334156134668 = 22321013667259663
BaseRepresentation
bin1100001000001001100110…
…1000111100100100001100
31202012201210021012222100100
43002002121220330210030
53221431322432302133
644205343214131100
72544234551026425
oct302023150744414
952181707188310
1013334156134668
114280a90576566
1215b42b9ab0a90
13759536c39aa5
1434153b56a64c
15181cba786e13
hexc2099a3c90c

13334156134668 has 36 divisors (see below), whose sum is σ = 34039504201248. Its totient is φ = 4400711594400.

The previous prime is 13334156134667. The next prime is 13334156134693. The reversal of 13334156134668 is 86643165143331.

13334156134668 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 15 + 613 + 4 + 6 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13334156134667) 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 11 ways as a sum of consecutive naturals, for example, 1833626196 + ... + 1833633467.

It is an arithmetic number, because the mean of its divisors is an integer number (945541783368).

Almost surely, 213334156134668 is an apocalyptic number.

13334156134668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13334156134668 is an abundant number, since it is smaller than the sum of its proper divisors (20705348066580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13334156134668 is a wasteful number, since it uses less digits than its factorization.

13334156134668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667259774 (or 3667259769 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 13334156134668 in words is "thirteen trillion, three hundred thirty-four billion, one hundred fifty-six million, one hundred thirty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 3667259663 7334519326 11001778989 14669038652 22003557978 33005336967 44007115956 66010673934 132021347868 370393225963 740786451926 1111179677889 1481572903852 2222359355778 3333539033667 4444718711556 6667078067334 13334156134668