Search a number
-
+
299853712921 = 7213725712
BaseRepresentation
bin1000101110100001010…
…11001000111000011001
31001122222022122212121011
410113100223020320121
514403100022303141
6345430105413521
730443440335400
oct4272053107031
91048868585534
10299853712921
11106192670694
124a14449a2a1
132237872c9c9
1410727942637
157bee914881
hex45d0ac8e19

299853712921 has 27 divisors (see below), whose sum is σ = 351990503487. Its totient is φ = 254694595680.

The previous prime is 299853712903. The next prime is 299853712931. The reversal of 299853712921 is 129217358992.

It is a happy number.

The square root of 299853712921 is 547589.

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

It can be written as a sum of positive squares in only one way, i.e., 176135499225 + 123718213696 = 419685^2 + 351736^2 .

It is not a de Polignac number, because 299853712921 - 29 = 299853712409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (299853712931) 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 26 ways as a sum of consecutive naturals, for example, 525137566 + ... + 525138136.

Almost surely, 2299853712921 is an apocalyptic number.

299853712921 is the 547589-th square number.

299853712921 is the 273795-th centered octagonal number.

It is an amenable number.

299853712921 is a deficient number, since it is larger than the sum of its proper divisors (52136790566).

299853712921 is an frugal number, since it uses more digits than its factorization.

299853712921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 715 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 58.

The spelling of 299853712921 in words is "two hundred ninety-nine billion, eight hundred fifty-three million, seven hundred twelve thousand, nine hundred twenty-one".

Divisors: 1 7 49 137 571 959 3997 6713 18769 27979 78227 131383 326041 547589 919681 2282287 3833123 10717099 15976009 44667617 75019693 312673319 525137851 2188713233 6119463529 42836244703 299853712921