Search a number
-
+
33066512964 = 2232303072
BaseRepresentation
bin11110110010111010…
…101111001001000100
310011100110110220100100
4132302322233021010
51020210011403324
623105054044100
72250263502612
oct366272571104
9104313426310
1033066512964
1113029203671
1264a9aa9630
13316c796c04
1418598066b2
15cd7e5a4c9
hex7b2eaf244

33066512964 has 27 divisors (see below), whose sum is σ = 83587554687. Its totient is φ = 11021807304.

The previous prime is 33066512933. The next prime is 33066513043. The reversal of 33066512964 is 46921566033.

The square root of 33066512964 is 181842.

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

33066512964 is a `hidden beast` number, since 3 + 306 + 6 + 51 + 296 + 4 = 666.

It is an unprimeable number.

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, 1075899 + ... + 1106205.

Almost surely, 233066512964 is an apocalyptic number.

33066512964 is the 181842-nd square number.

It is an amenable number.

33066512964 is an abundant number, since it is smaller than the sum of its proper divisors (50521041723).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33066512964 is an frugal number, since it uses more digits than its factorization.

33066512964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60624 (or 30312 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 33066512964 in words is "thirty-three billion, sixty-six million, five hundred twelve thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 30307 60614 90921 121228 181842 272763 363684 545526 1091052 918514249 1837028498 2755542747 3674056996 5511085494 8266628241 11022170988 16533256482 33066512964