Search a number
-
+
19369680625 = 541922932
BaseRepresentation
bin10010000010100001…
…011101111011110001
31211222220110201121201
4102002201131323301
5304132114240000
612522011251201
71253666366041
oct220241357361
954886421551
1019369680625
11823a752819
123906a49b01
131a98c248a9
14d1a6c9721
1578575e96a
hex48285def1

19369680625 has 45 divisors (see below), whose sum is σ = 25632797223. Its totient is φ = 14630076000.

The previous prime is 19369680623. The next prime is 19369680641. The reversal of 19369680625 is 52608696391.

The square root of 19369680625 is 139175.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4749001569 + 14620679056 = 68913^2 + 120916^2 .

It is not a de Polignac number, because 19369680625 - 21 = 19369680623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19369680623) 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 in 44 ways as a sum of consecutive naturals, for example, 66107979 + ... + 66108271.

Almost surely, 219369680625 is an apocalyptic number.

19369680625 is the 139175-th square number.

19369680625 is the 69588-th centered octagonal number.

It is an amenable number.

19369680625 is a deficient number, since it is larger than the sum of its proper divisors (6263116598).

19369680625 is an frugal number, since it uses more digits than its factorization.

19369680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 19369680625 in words is "nineteen billion, three hundred sixty-nine million, six hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 19 25 95 125 293 361 475 625 1465 1805 2375 5567 7325 9025 11875 27835 36625 45125 85849 105773 139175 183125 225625 429245 528865 695875 1631131 2146225 2644325 3479375 8155655 10731125 13221625 30991489 40778275 53655625 66108125 154957445 203891375 774787225 1019456875 3873936125 19369680625