Search a number
-
+
3973317713 is a prime number
BaseRepresentation
bin1110110011010100…
…0000010001010001
3101020220111110020022
43230311000101101
531114132131323
61454133553225
7200314433441
oct35465002121
911226443208
103973317713
11175991a452
1292a7a5815
134b423b891
142999aa121
15183c544c8
hexecd40451

3973317713 has 2 divisors, whose sum is σ = 3973317714. Its totient is φ = 3973317712.

The previous prime is 3973317671. The next prime is 3973317737. The reversal of 3973317713 is 3177133793.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3937939009 + 35378704 = 62753^2 + 5948^2 .

It is an emirp because it is prime and its reverse (3177133793) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3973317713 - 28 = 3973317457 is a prime.

It is not a weakly prime, because it can be changed into another prime (3973317743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1986658856 + 1986658857.

It is an arithmetic number, because the mean of its divisors is an integer number (1986658857).

Almost surely, 23973317713 is an apocalyptic number.

It is an amenable number.

3973317713 is a deficient number, since it is larger than the sum of its proper divisors (1).

3973317713 is an equidigital number, since it uses as much as digits as its factorization.

3973317713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 250047, while the sum is 44.

The square root of 3973317713 is about 63034.2582489871. The cubic root of 3973317713 is about 1583.8635503455.

The spelling of 3973317713 in words is "three billion, nine hundred seventy-three million, three hundred seventeen thousand, seven hundred thirteen".