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3917291947813 is a prime number
BaseRepresentation
bin111001000000010000110…
…010111000011100100101
3111212111012210220022201001
4321000100302320130211
51003140103214312223
612155325025233301
7553005101110456
oct71002062703445
914774183808631
103917291947813
1112803501a9932
12533245192831
1322552591b09a
14d7852a7712d
156bd6edb59ad
hex39010cb8725

3917291947813 has 2 divisors, whose sum is σ = 3917291947814. Its totient is φ = 3917291947812.

The previous prime is 3917291947757. The next prime is 3917291947823. The reversal of 3917291947813 is 3187491927193.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3435658723809 + 481633224004 = 1853553^2 + 693998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3917291947813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3917291947823) 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 as a sum of consecutive naturals, namely, 1958645973906 + 1958645973907.

It is an arithmetic number, because the mean of its divisors is an integer number (1958645973907).

Almost surely, 23917291947813 is an apocalyptic number.

It is an amenable number.

3917291947813 is a deficient number, since it is larger than the sum of its proper divisors (1).

3917291947813 is an equidigital number, since it uses as much as digits as its factorization.

3917291947813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20575296, while the sum is 64.

The spelling of 3917291947813 in words is "three trillion, nine hundred seventeen billion, two hundred ninety-one million, nine hundred forty-seven thousand, eight hundred thirteen".