Search a number
-
+
108167763749 is a prime number
BaseRepresentation
bin110010010111101001…
…1010001011100100101
3101100012101201201202012
41210233103101130211
53233011421414444
6121405214324005
710546332551543
oct1445723213445
9340171651665
10108167763749
1141967978981
1218b691b9605
13a27aa31046
145341b18d93
152c31322b9e
hex192f4d1725

108167763749 has 2 divisors, whose sum is σ = 108167763750. Its totient is φ = 108167763748.

The previous prime is 108167763733. The next prime is 108167763751. The reversal of 108167763749 is 947367761801.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107521689025 + 646074724 = 327905^2 + 25418^2 .

It is a cyclic number.

It is not a de Polignac number, because 108167763749 - 24 = 108167763733 is a prime.

It is a super-2 number, since 2×1081677637492 (a number of 23 digits) contains 22 as substring.

Together with 108167763751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108167763719) 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, 54083881874 + 54083881875.

It is an arithmetic number, because the mean of its divisors is an integer number (54083881875).

Almost surely, 2108167763749 is an apocalyptic number.

It is an amenable number.

108167763749 is a deficient number, since it is larger than the sum of its proper divisors (1).

108167763749 is an equidigital number, since it uses as much as digits as its factorization.

108167763749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10668672, while the sum is 59.

The spelling of 108167763749 in words is "one hundred eight billion, one hundred sixty-seven million, seven hundred sixty-three thousand, seven hundred forty-nine".