Search a number
-
+
192818470321 = 337213032
BaseRepresentation
bin1011001110010011100…
…0000101110110110001
3200102200211222011210201
42303210320011312301
511124343012022241
6224325104555201
716634135645461
oct2634470056661
9612624864721
10192818470321
1174856aaa704
1231452622b01
131524b528029
1494923cdba1
155037c4d931
hex2ce4e05db1

192818470321 has 9 divisors (see below), whose sum is σ = 193540864491. Its totient is φ = 192098767392.

The previous prime is 192818470309. The next prime is 192818470331. The reversal of 192818470321 is 123074818291.

The square root of 192818470321 is 439111.

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

192818470321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51995400625 + 140823069696 = 228025^2 + 375264^2 .

It is not a de Polignac number, because 192818470321 - 25 = 192818470289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (192818470331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147979756 + ... + 147981058.

It is an arithmetic number, because the mean of its divisors is an integer number (21504540499).

Almost surely, 2192818470321 is an apocalyptic number.

192818470321 is the 439111-st square number.

192818470321 is the 219556-th centered octagonal number.

It is an amenable number.

192818470321 is a deficient number, since it is larger than the sum of its proper divisors (722394170).

192818470321 is an frugal number, since it uses more digits than its factorization.

192818470321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 192818470321 in words is "one hundred ninety-two billion, eight hundred eighteen million, four hundred seventy thousand, three hundred twenty-one".

Divisors: 1 337 1303 113569 439111 1697809 147980407 572161633 192818470321