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3381627593 is a prime number
BaseRepresentation
bin1100100110001111…
…1000101011001001
322201200010110222102
43021203320223021
523411144040333
61315320003145
7146541234401
oct31143705311
98650113872
103381627593
111485927953
127a46004b5
1341b792496
14241187801
1514bd28ae8
hexc98f8ac9

3381627593 has 2 divisors, whose sum is σ = 3381627594. Its totient is φ = 3381627592.

The previous prime is 3381627577. The next prime is 3381627611. The reversal of 3381627593 is 3957261833.

3381627593 is digitally balanced in base 2, 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., 2508306889 + 873320704 = 50083^2 + 29552^2 .

It is a cyclic number.

It is not a de Polignac number, because 3381627593 - 24 = 3381627577 is a prime.

It is a super-2 number, since 2×33816275932 = 22870810355477947298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3381627523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1690813796 + 1690813797.

It is an arithmetic number, because the mean of its divisors is an integer number (1690813797).

Almost surely, 23381627593 is an apocalyptic number.

It is an amenable number.

3381627593 is a deficient number, since it is larger than the sum of its proper divisors (1).

3381627593 is an equidigital number, since it uses as much as digits as its factorization.

3381627593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 816480, while the sum is 47.

The square root of 3381627593 is about 58151.7634556339. The cubic root of 3381627593 is about 1500.9812236231.

The spelling of 3381627593 in words is "three billion, three hundred eighty-one million, six hundred twenty-seven thousand, five hundred ninety-three".