Search a number
-
+
3970729683937 is a prime number
BaseRepresentation
bin111001110010000001111…
…011101010101111100001
3112001121010222102120202001
4321302001323222233201
51010024023244341222
612240043353324001
7556606245266512
oct71620173525741
915047128376661
103970729683937
1112a0a82431a15
12541679406601
1322a590966ba3
14da281b98a09
156d44b468e27
hex39c81eeabe1

3970729683937 has 2 divisors, whose sum is σ = 3970729683938. Its totient is φ = 3970729683936.

The previous prime is 3970729683923. The next prime is 3970729683953. The reversal of 3970729683937 is 7393869270793.

3970729683937 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2217883433536 + 1752846250401 = 1489256^2 + 1323951^2 .

It is a cyclic number.

It is not a de Polignac number, because 3970729683937 - 235 = 3936369945569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3970729683937.

It is not a weakly prime, because it can be changed into another prime (3970729683997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1985364841968 + 1985364841969.

It is an arithmetic number, because the mean of its divisors is an integer number (1985364841969).

Almost surely, 23970729683937 is an apocalyptic number.

It is an amenable number.

3970729683937 is a deficient number, since it is larger than the sum of its proper divisors (1).

3970729683937 is an equidigital number, since it uses as much as digits as its factorization.

3970729683937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648121824, while the sum is 73.

The spelling of 3970729683937 in words is "three trillion, nine hundred seventy billion, seven hundred twenty-nine million, six hundred eighty-three thousand, nine hundred thirty-seven".