Search a number
-
+
38814668758609 is a prime number
BaseRepresentation
bin10001101001101001111101…
…00010110001111001010001
312002102122110000002001020221
420310310332202301321101
520041414420200233414
6214315113534033041
711114160450531532
oct1064647642617121
9162378400061227
1038814668758609
1111405232688487
12442a662048781
13188729100cca3
149828d61cc689
154749d2c15224
hex234d3e8b1e51

38814668758609 has 2 divisors, whose sum is σ = 38814668758610. Its totient is φ = 38814668758608.

The previous prime is 38814668758561. The next prime is 38814668758633. The reversal of 38814668758609 is 90685786641883.

38814668758609 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 can be written as a sum of positive squares in only one way, i.e., 37081949355025 + 1732719403584 = 6089495^2 + 1316328^2 .

It is a cyclic number.

It is not a de Polignac number, because 38814668758609 - 29 = 38814668758097 is a prime.

It is a super-2 number, since 2×388146687586092 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38814668750609) 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, 19407334379304 + 19407334379305.

It is an arithmetic number, because the mean of its divisors is an integer number (19407334379305).

Almost surely, 238814668758609 is an apocalyptic number.

It is an amenable number.

38814668758609 is a deficient number, since it is larger than the sum of its proper divisors (1).

38814668758609 is an equidigital number, since it uses as much as digits as its factorization.

38814668758609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3344302080, while the sum is 79.

The spelling of 38814668758609 in words is "thirty-eight trillion, eight hundred fourteen billion, six hundred sixty-eight million, seven hundred fifty-eight thousand, six hundred nine".