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38038891313 is a prime number
BaseRepresentation
bin100011011011010010…
…110110101100110001
310122011222212220010102
4203123102312230301
51110400424010223
625250321242145
72514432145523
oct433322665461
9118158786112
1038038891313
111514aa65065
127457193355
1337829a4217
141babd57a13
15ec9757928
hex8db4b6b31

38038891313 has 2 divisors, whose sum is σ = 38038891314. Its totient is φ = 38038891312.

The previous prime is 38038891301. The next prime is 38038891321. The reversal of 38038891313 is 31319883083.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31068645169 + 6970246144 = 176263^2 + 83488^2 .

It is an emirp because it is prime and its reverse (31319883083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38038891313 - 26 = 38038891249 is a prime.

It is not a weakly prime, because it can be changed into another prime (38038491313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19019445656 + 19019445657.

It is an arithmetic number, because the mean of its divisors is an integer number (19019445657).

Almost surely, 238038891313 is an apocalyptic number.

It is an amenable number.

38038891313 is a deficient number, since it is larger than the sum of its proper divisors (1).

38038891313 is an equidigital number, since it uses as much as digits as its factorization.

38038891313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 38038891313 in words is "thirty-eight billion, thirty-eight million, eight hundred ninety-one thousand, three hundred thirteen".