Search a number
-
+
309325856769 = 3219295206481
BaseRepresentation
bin1001000000001010100…
…00100000000000000001
31002120102110011122012200
410200011100200000001
520031444404404034
6354034034343413
731230245254206
oct4400520400001
91076373148180
10309325856769
1110a203422546
124bb4872ab69
1323227c60b57
1410d8593bcad
1580a62a5a99
hex4805420001

309325856769 has 18 divisors (see below), whose sum is σ = 471557705346. Its totient is φ = 195363696960.

The previous prime is 309325856747. The next prime is 309325856779. The reversal of 309325856769 is 967658523903.

309325856769 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 2 + 5 + 8 + 567 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 300426764544 + 8899092225 = 548112^2 + 94335^2 .

It is not a de Polignac number, because 309325856769 - 27 = 309325856641 is a prime.

It is a super-2 number, since 2×3093258567692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (309325856779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47599992 + ... + 47606489.

It is an arithmetic number, because the mean of its divisors is an integer number (26197650297).

Almost surely, 2309325856769 is an apocalyptic number.

It is an amenable number.

309325856769 is a deficient number, since it is larger than the sum of its proper divisors (162231848577).

309325856769 is a wasteful number, since it uses less digits than its factorization.

309325856769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95206525 (or 95206503 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 309325856769 in words is "three hundred nine billion, three hundred twenty-five million, eight hundred fifty-six thousand, seven hundred sixty-nine".

Divisors: 1 3 9 19 57 171 361 1083 3249 95206481 285619443 856858329 1808923139 5426769417 16280308251 34369539641 103108618923 309325856769