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11209499067481 = 11213418012
BaseRepresentation
bin1010001100011110101000…
…1101011100010001011001
31110200121200021002222200221
42203013222031130101121
52432124023230124411
635501323415400041
72234600556652531
oct243075215342131
943617607088627
1011209499067481
113631a15aa1100
121310586683021
13634088710000
142aa7850604c1
151468b8a3c071
hexa31ea35c459

11209499067481 has 45 divisors (see below), whose sum is σ = 13355329891659. Its totient is φ = 9401349672000.

The previous prime is 11209499067443. The next prime is 11209499067499. The reversal of 11209499067481 is 18476099490211.

The square root of 11209499067481 is 3348059.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9407353913881 + 1802145153600 = 3067141^2 + 1342440^2 .

It is not a de Polignac number, because 11209499067481 - 229 = 11208962196569 is a prime.

It is a super-2 number, since 2×112094990674812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11209499067421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6224040781 + ... + 6224042581.

Almost surely, 211209499067481 is an apocalyptic number.

11209499067481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11209499067481 is the 3348059-th square number.

11209499067481 is the 1674030-th centered octagonal number.

It is an amenable number.

11209499067481 is a deficient number, since it is larger than the sum of its proper divisors (2145830824178).

11209499067481 is an frugal number, since it uses more digits than its factorization.

11209499067481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 11209499067481 in words is "eleven trillion, two hundred nine billion, four hundred ninety-nine million, sixty-seven thousand, four hundred eighty-one".

Divisors: 1 11 13 121 143 169 1573 1801 1859 2197 19811 20449 23413 24167 28561 217921 257543 265837 304369 314171 2832973 3243601 3348059 3455881 3956797 35679611 36828649 42166813 43524767 51438361 392475721 463834943 478772437 548168569 565821971 5102184373 6029854259 6224041681 7126191397 66328396849 78388105367 92640488161 862269159037 1019045369771 11209499067481