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11541849489 = 362321732
BaseRepresentation
bin10101011111111001…
…01010010110010001
31002210101000201000000
422233330222112101
5142114203140424
65145141520213
7556006046652
oct125774522621
932711021000
1011541849489
114993089395
1222a1413069
13111c273051
147b6c3b529
154784223c9
hex2aff2a591

11541849489 has 63 divisors (see below), whose sum is σ = 18195126187. Its totient is φ = 7317476496.

The previous prime is 11541849481. The next prime is 11541849499. The reversal of 11541849489 is 98494814511.

The square root of 11541849489 is 107433.

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

11541849489 is a `hidden beast` number, since 1 + 1 + 541 + 8 + 4 + 94 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10499076225 + 1042773264 = 102465^2 + 32292^2 .

It is not a de Polignac number, because 11541849489 - 23 = 11541849481 is a prime.

It is a super-2 number, since 2×115418494892 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11541849481) 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 62 ways as a sum of consecutive naturals, for example, 66715807 + ... + 66715979.

Almost surely, 211541849489 is an apocalyptic number.

11541849489 is the 107433-rd square number.

11541849489 is the 53717-th centered octagonal number.

It is an amenable number.

11541849489 is a deficient number, since it is larger than the sum of its proper divisors (6653276698).

11541849489 is an frugal number, since it uses more digits than its factorization.

11541849489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 199 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 11541849489 in words is "eleven billion, five hundred forty-one million, eight hundred forty-nine thousand, four hundred eighty-nine".

Divisors: 1 3 9 23 27 69 81 173 207 243 519 529 621 729 1557 1587 1863 3979 4671 4761 5589 11937 14013 14283 16767 29929 35811 42039 42849 89787 91517 107433 126117 128547 269361 274551 322299 385641 688367 808083 823653 966897 2065101 2424249 2470959 2900691 6195303 7272747 7412877 15832441 18585909 21818241 22238631 47497323 55757727 66715893 142491969 167273181 427475907 501819543 1282427721 3847283163 11541849489