Search a number
-
+
27245205645 = 357264357649
BaseRepresentation
bin11001010111111100…
…001101100010001101
32121022202122211221120
4121113330031202031
5421244233040040
620303303151153
71653106266300
oct312774154215
977282584846
1027245205645
1110611232289
1253444454b9
132752734c78
141466630b37
15a96d6d7d0
hex657f0d88d

27245205645 has 48 divisors (see below), whose sum is σ = 50789188800. Its totient is φ = 12435365376.

The previous prime is 27245205643. The next prime is 27245205671. The reversal of 27245205645 is 54650254272.

It is not a de Polignac number, because 27245205645 - 21 = 27245205643 is a prime.

It is a super-3 number, since 3×272452056453 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27245205597 and 27245205606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27245205643) 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 47 ways as a sum of consecutive naturals, for example, 443781 + ... + 501429.

It is an arithmetic number, because the mean of its divisors is an integer number (1058108100).

Almost surely, 227245205645 is an apocalyptic number.

It is an amenable number.

27245205645 is a deficient number, since it is larger than the sum of its proper divisors (23543983155).

27245205645 is a wasteful number, since it uses less digits than its factorization.

27245205645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58314 (or 58307 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 27245205645 in words is "twenty-seven billion, two hundred forty-five million, two hundred five thousand, six hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 643 735 1929 3215 4501 9645 13503 22505 31507 57649 67515 94521 157535 172947 288245 403543 472605 864735 1210629 2017715 2824801 6053145 8474403 14124005 37068307 42372015 111204921 185341535 259478149 556024605 778434447 1297390745 1816347043 3892172235 5449041129 9081735215 27245205645