Search a number
-
+
198685930564 = 22112202612
BaseRepresentation
bin1011100100001010011…
…0101011010001000100
3200222211202122001010001
42321002212223101010
511223402044234224
6231135225011044
720232423354532
oct2710246532104
9628752561101
10198685930564
1177298034400
123260b623a84
1315974cc92b4
14988b77b152
15527ce05544
hex2e429ab444

198685930564 has 27 divisors (see below), whose sum is σ = 382201924573. Its totient is φ = 90307329200.

The previous prime is 198685930561. The next prime is 198685930567. The reversal of 198685930564 is 465039586891.

The square root of 198685930564 is 445742.

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

It is an interprime number because it is at equal distance from previous prime (198685930561) and next prime (198685930567).

It can be written as a sum of positive squares in only one way, i.e., 2366044164 + 196319886400 = 48642^2 + 443080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 198685930496 and 198685930505.

It is not an unprimeable number, because it can be changed into a prime (198685930561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9796194 + ... + 9816454.

Almost surely, 2198685930564 is an apocalyptic number.

198685930564 is the 445742-nd square number.

It is an amenable number.

198685930564 is a deficient number, since it is larger than the sum of its proper divisors (183515994009).

198685930564 is an frugal number, since it uses more digits than its factorization.

198685930564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40548 (or 20274 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 64.

Multiplying 198685930564 by its sum of digits (64), we get a square (12715899556096 = 35659362).

The spelling of 198685930564 in words is "one hundred ninety-eight billion, six hundred eighty-five million, nine hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 44 121 242 484 20261 40522 81044 222871 445742 891484 2451581 4903162 9806324 410508121 821016242 1642032484 4515589331 9031178662 18062357324 49671482641 99342965282 198685930564