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38334624401 is a prime number
BaseRepresentation
bin100011101100111010…
…111111001010010001
310122221121100200122202
4203230322333022101
51112002130440101
625335524012545
72524652634233
oct435472771221
9118847320582
1038334624401
1115291994777
12751a231155
1337cc039b08
141bd933a253
15ee56c236b
hex8ecebf291

38334624401 has 2 divisors, whose sum is σ = 38334624402. Its totient is φ = 38334624400.

The previous prime is 38334624359. The next prime is 38334624439. The reversal of 38334624401 is 10442643383.

It is an a-pointer prime, because the next prime (38334624439) can be obtained adding 38334624401 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34567733776 + 3766890625 = 185924^2 + 61375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38334624401 is a prime.

It is not a weakly prime, because it can be changed into another prime (38334624301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19167312200 + 19167312201.

It is an arithmetic number, because the mean of its divisors is an integer number (19167312201).

Almost surely, 238334624401 is an apocalyptic number.

It is an amenable number.

38334624401 is a deficient number, since it is larger than the sum of its proper divisors (1).

38334624401 is an equidigital number, since it uses as much as digits as its factorization.

38334624401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 38334624401 in words is "thirty-eight billion, three hundred thirty-four million, six hundred twenty-four thousand, four hundred one".