Search a number
-
+
11582607442329 = 367211216372
BaseRepresentation
bin1010100010001100100100…
…1100111100000110011001
31112000021201211100021000000
42220203021030330012121
53004232140001123304
640344550523003213
72303546544553200
oct250431114740631
945007654307000
1011582607442329
113766179a41500
121370953969509
13660309954201
142c085b952237
1515145465b939
hexa88c933c199

11582607442329 has 189 divisors, whose sum is σ = 22218226888431. Its totient is φ = 6013263342240.

The previous prime is 11582607442283. The next prime is 11582607442369. The reversal of 11582607442329 is 92324470628511.

It is a happy number.

The square root of 11582607442329 is 3403323.

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

11582607442329 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 2 + 607 + 4 + 4 + 2 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 351074025225 + 11231533417104 = 592515^2 + 3351348^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 11582607442329 - 29 = 11582607441817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11582607442369) 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 188 ways as a sum of consecutive naturals, for example, 7075507699 + ... + 7075509335.

It is a 1-persistent number, because it is pandigital, but 2⋅11582607442329 = 23165214884658 is not.

Almost surely, 211582607442329 is an apocalyptic number.

11582607442329 is the 3403323-rd square number.

11582607442329 is the 1701662-nd centered octagonal number.

It is an amenable number.

11582607442329 is a deficient number, since it is larger than the sum of its proper divisors (10635619446102).

11582607442329 is an frugal number, since it uses more digits than its factorization.

11582607442329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11582607442329 in words is "eleven trillion, five hundred eighty-two billion, six hundred seven million, four hundred forty-two thousand, three hundred twenty-nine".