Search a number
-
+
10386754105769 is a prime number
BaseRepresentation
bin1001011100100101101011…
…0010011111000110101001
31100202222000202022110212222
42113021122302133012221
52330134033022341034
634031335311443425
72121263310116006
oct227113262370651
940688022273788
1010386754105769
113344aa7a01a98
1211b9032b26575
135a460b48c212
1427ca160388ad
151302b3a1712e
hex9725ac9f1a9

10386754105769 has 2 divisors, whose sum is σ = 10386754105770. Its totient is φ = 10386754105768.

The previous prime is 10386754105703. The next prime is 10386754105837. The reversal of 10386754105769 is 96750145768301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8053534515625 + 2333219590144 = 2837875^2 + 1527488^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10386754105769 is a prime.

It is a super-2 number, since 2×103867541057692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10386754105369) 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, 5193377052884 + 5193377052885.

It is an arithmetic number, because the mean of its divisors is an integer number (5193377052885).

Almost surely, 210386754105769 is an apocalyptic number.

It is an amenable number.

10386754105769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10386754105769 is an equidigital number, since it uses as much as digits as its factorization.

10386754105769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38102400, while the sum is 62.

The spelling of 10386754105769 in words is "ten trillion, three hundred eighty-six billion, seven hundred fifty-four million, one hundred five thousand, seven hundred sixty-nine".