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3744828013 is a prime number
BaseRepresentation
bin1101111100110101…
…1000101001101101
3100122222112222021211
43133031120221231
530132133444023
61415332354421
7161541340633
oct33715305155
910588488254
103744828013
111651948793
12886175a11
13478abab84
142774cd353
1516db6da0d
hexdf358a6d

3744828013 has 2 divisors, whose sum is σ = 3744828014. Its totient is φ = 3744828012.

The previous prime is 3744827987. The next prime is 3744828037. The reversal of 3744828013 is 3108284473.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2206462729 + 1538365284 = 46973^2 + 39222^2 .

It is a cyclic number.

It is not a de Polignac number, because 3744828013 - 25 = 3744827981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3744828083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1872414006 + 1872414007.

It is an arithmetic number, because the mean of its divisors is an integer number (1872414007).

Almost surely, 23744828013 is an apocalyptic number.

It is an amenable number.

3744828013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3744828013 is an equidigital number, since it uses as much as digits as its factorization.

3744828013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 3744828013 is about 61194.9999019528. Note that the first 4 decimals coincide. The cubic root of 3744828013 is about 1552.9016769792.

The spelling of 3744828013 in words is "three billion, seven hundred forty-four million, eight hundred twenty-eight thousand, thirteen".