Search a number
-
+
38678630814847 is a prime number
BaseRepresentation
bin10001100101101100100100…
…00011001101010001111111
312001221122022021200110220101
420302312102003031101333
520032202313442033342
6214132415004501531
711101303346223562
oct1062662203152177
9161848267613811
1038678630814847
1111362573821891
12440821724a8a7
1318774c1245a8a
1497a0acc784d9
154711bec713b7
hex232d920cd47f

38678630814847 has 2 divisors, whose sum is σ = 38678630814848. Its totient is φ = 38678630814846.

The previous prime is 38678630814773. The next prime is 38678630814877. The reversal of 38678630814847 is 74841803687683.

38678630814847 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (74841803687683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38678630814847 - 227 = 38678496597119 is a prime.

It is a super-2 number, since 2×386786308148472 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38678630814847.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38678630814877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19339315407423 + 19339315407424.

It is an arithmetic number, because the mean of its divisors is an integer number (19339315407424).

Almost surely, 238678630814847 is an apocalyptic number.

38678630814847 is a deficient number, since it is larger than the sum of its proper divisors (1).

38678630814847 is an equidigital number, since it uses as much as digits as its factorization.

38678630814847 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1040449536, while the sum is 73.

The spelling of 38678630814847 in words is "thirty-eight trillion, six hundred seventy-eight billion, six hundred thirty million, eight hundred fourteen thousand, eight hundred forty-seven".