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11805039801 = 32362172
BaseRepresentation
bin10101111111010001…
…01001110010111001
31010110201021011020100
422333220221302321
5143134042233201
65231222550013
7565353116442
oct127750516271
933421234210
1011805039801
115008701145
122355598309
131161953469
147ddb8c2c9
154915ae886
hex2bfa29cb9

11805039801 has 9 divisors (see below), whose sum is σ = 17052194991. Its totient is φ = 7869809232.

The previous prime is 11805039793. The next prime is 11805039817. The reversal of 11805039801 is 10893050811.

The square root of 11805039801 is 108651.

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

It can be written as a sum of positive squares in only one way, i.e., 1396143225 + 10408896576 = 37365^2 + 102024^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11805039801 - 23 = 11805039793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11805039871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 307845 + ... + 344061.

Almost surely, 211805039801 is an apocalyptic number.

11805039801 is the 108651-st square number.

11805039801 is the 54326-th centered octagonal number.

It is an amenable number.

11805039801 is a deficient number, since it is larger than the sum of its proper divisors (5247155190).

11805039801 is an frugal number, since it uses more digits than its factorization.

11805039801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72440 (or 36220 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Multiplying 11805039801 by its sum of digits (36), we get a square (424981432836 = 6519062).

The spelling of 11805039801 in words is "eleven billion, eight hundred five million, thirty-nine thousand, eight hundred one".

Divisors: 1 3 9 36217 108651 325953 1311671089 3935013267 11805039801