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13146689106 = 232730371617
BaseRepresentation
bin11000011111001101…
…01000111001010010
31020221012211000002100
430033212220321102
5203411023022411
610012311101230
7643534004445
oct141746507122
936835730070
1013146689106
115636a66121
12266a971816
1313168b18a5
148ca03165c
1551e27a456
hex30f9a8e52

13146689106 has 12 divisors (see below), whose sum is σ = 28484493102. Its totient is φ = 4382229696.

The previous prime is 13146689089. The next prime is 13146689107. The reversal of 13146689106 is 60198664131.

13146689106 is a `hidden beast` number, since 1 + 3 + 1 + 466 + 89 + 106 = 666.

13146689106 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 only one way, i.e., 11319896025 + 1826793081 = 106395^2 + 42741^2 .

It is not an unprimeable number, because it can be changed into a prime (13146689107) 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 5 ways as a sum of consecutive naturals, for example, 365185791 + ... + 365185826.

Almost surely, 213146689106 is an apocalyptic number.

13146689106 is an abundant number, since it is smaller than the sum of its proper divisors (15337803996).

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

13146689106 is a wasteful number, since it uses less digits than its factorization.

13146689106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730371625 (or 730371622 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13146689106 in words is "thirteen billion, one hundred forty-six million, six hundred eighty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 18 730371617 1460743234 2191114851 4382229702 6573344553 13146689106