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38412821413 is a prime number
BaseRepresentation
bin100011110001100101…
…010010001110100101
310200011001111111210101
4203301211102032211
51112132140241123
625351400024101
72526622410661
oct436145221645
9120131444711
1038412821413
11153220442aa
127540462031
1338122b8635
141c058938a1
15eec4bbaad
hex8f19523a5

38412821413 has 2 divisors, whose sum is σ = 38412821414. Its totient is φ = 38412821412.

The previous prime is 38412821327. The next prime is 38412821429. The reversal of 38412821413 is 31412821483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37959897889 + 452923524 = 194833^2 + 21282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38412821413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38412821483) 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, 19206410706 + 19206410707.

It is an arithmetic number, because the mean of its divisors is an integer number (19206410707).

Almost surely, 238412821413 is an apocalyptic number.

It is an amenable number.

38412821413 is a deficient number, since it is larger than the sum of its proper divisors (1).

38412821413 is an equidigital number, since it uses as much as digits as its factorization.

38412821413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36864, while the sum is 37.

The spelling of 38412821413 in words is "thirty-eight billion, four hundred twelve million, eight hundred twenty-one thousand, four hundred thirteen".