Search a number
-
+
1329704184384 = 263223220892
BaseRepresentation
bin10011010110011000100…
…010111010101001000000
311201010012101000100212100
4103112120202322221000
5133241213232400014
62454505131230400
7165032211036132
oct23263042725100
94633171010770
101329704184384
11472a1938a604
121958572a8400
13985100c81c4
14485025cd052
15248c6aba009
hex135988baa40

1329704184384 has 189 divisors, whose sum is σ = 3986181141033. Its totient is φ = 423760702464.

The previous prime is 1329704184329. The next prime is 1329704184401. The reversal of 1329704184384 is 4834814079231.

The square root of 1329704184384 is 1153128.

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

1329704184384 is a `hidden beast` number, since 13 + 2 + 9 + 70 + 4 + 184 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1171745630784 + 157958553600 = 1082472^2 + 397440^2 .

It is a super-2 number, since 2×13297041843842 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1329704184384.

It is an unprimeable number.

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, 636525612 + ... + 636527700.

Almost surely, 21329704184384 is an apocalyptic number.

1329704184384 is the 1153128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329704184384

1329704184384 is an abundant number, since it is smaller than the sum of its proper divisors (2656476956649).

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

1329704184384 is an frugal number, since it uses more digits than its factorization.

1329704184384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1329704184384 in words is "one trillion, three hundred twenty-nine billion, seven hundred four million, one hundred eighty-four thousand, three hundred eighty-four".