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13144574233 = 721715779801
BaseRepresentation
bin11000011110111101…
…00100100100011001
31020221001211120000201
430033132210210121
5203410002333413
610012153502201
7643510015600
oct141736444431
936831746021
1013144574233
11563585119a
12266a111961
13131632109b
148c9a40a37
1551dead9dd
hex30f7a4919

13144574233 has 12 divisors (see below), whose sum is σ = 16190076852. Its totient is φ = 10604025600.

The previous prime is 13144574207. The next prime is 13144574237. The reversal of 13144574233 is 33247544131.

13144574233 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 2 ways, for example, as 10785237904 + 2359336329 = 103852^2 + 48573^2 .

It is not a de Polignac number, because 13144574233 - 217 = 13144443161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13144574192 and 13144574201.

It is not an unprimeable number, because it can be changed into a prime (13144574237) 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, 7889068 + ... + 7890733.

It is an arithmetic number, because the mean of its divisors is an integer number (1349173071).

Almost surely, 213144574233 is an apocalyptic number.

It is an amenable number.

13144574233 is a deficient number, since it is larger than the sum of its proper divisors (3045502619).

13144574233 is a wasteful number, since it uses less digits than its factorization.

13144574233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779832 (or 15779825 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The spelling of 13144574233 in words is "thirteen billion, one hundred forty-four million, five hundred seventy-four thousand, two hundred thirty-three".

Divisors: 1 7 17 49 119 833 15779801 110458607 268256617 773210249 1877796319 13144574233