Search a number
-
+
345679008889 is a prime number
BaseRepresentation
bin1010000011111000001…
…00110001010001111001
31020001020222001002220011
411001330010301101321
521130422311241024
6422445220501521
733655151044354
oct5017404612171
91201228032804
10345679008889
11123668874815
1256bb324a8a1
132679c60c856
1412a33a4329b
158ed2a25094
hex507c131479

345679008889 has 2 divisors, whose sum is σ = 345679008890. Its totient is φ = 345679008888.

The previous prime is 345679008887. The next prime is 345679008919. The reversal of 345679008889 is 988800976543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286554654864 + 59124354025 = 535308^2 + 243155^2 .

It is a cyclic number.

It is not a de Polignac number, because 345679008889 - 21 = 345679008887 is a prime.

Together with 345679008887, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (345679008881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172839504444 + 172839504445.

It is an arithmetic number, because the mean of its divisors is an integer number (172839504445).

Almost surely, 2345679008889 is an apocalyptic number.

It is an amenable number.

345679008889 is a deficient number, since it is larger than the sum of its proper divisors (1).

345679008889 is an equidigital number, since it uses as much as digits as its factorization.

345679008889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104509440, while the sum is 67.

The spelling of 345679008889 in words is "three hundred forty-five billion, six hundred seventy-nine million, eight thousand, eight hundred eighty-nine".