Search a number
-
+
11600344336401 = 3229409108669349
BaseRepresentation
bin1010100011001110101001…
…1001110100100000010001
31112001222111221102211112200
42220303222121310200101
53010030001122231101
640401042530113413
72305045226636502
oct250635231644021
945058457384480
1011600344336401
113772750a59547
121374283a1b869
13661ba55038c2
142c1661450ba9
15151b41892986
hexa8cea674811

11600344336401 has 24 divisors (see below), whose sum is σ = 17376229065000. Its totient is φ = 7448631789312.

The previous prime is 11600344336379. The next prime is 11600344336409. The reversal of 11600344336401 is 10463344300611.

11600344336401 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 0 + 3 + 4 + 4 + 3 + 3 + 640 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1310106870801 + 10290237465600 = 1144599^2 + 3207840^2 .

It is not a de Polignac number, because 11600344336401 - 214 = 11600344320017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11600344336409) 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 23 ways as a sum of consecutive naturals, for example, 54227926 + ... + 54441423.

It is an arithmetic number, because the mean of its divisors is an integer number (724009544375).

Almost surely, 211600344336401 is an apocalyptic number.

It is an amenable number.

11600344336401 is a deficient number, since it is larger than the sum of its proper divisors (5775884728599).

11600344336401 is a wasteful number, since it uses less digits than its factorization.

11600344336401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108669793 (or 108669790 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 11600344336401 in words is "eleven trillion, six hundred billion, three hundred forty-four million, three hundred thirty-six thousand, four hundred one".

Divisors: 1 3 9 29 87 261 409 1227 3681 11861 35583 106749 108669349 326008047 978024141 3151411121 9454233363 28362700089 44445763741 133337291223 400011873669 1288927148489 3866781445467 11600344336401