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11131559749485 = 325725048326417
BaseRepresentation
bin1010000111111100010010…
…1010100010011101101101
31110102011111112112101222200
42201333010222202131231
52424334413243440420
635401433513332113
72226141266460300
oct241770452423555
943364445471880
1011131559749485
1136019603089aa
1212b9454a07039
136299174aaa76
142a6aadc58b37
1514485641ab90
hexa1fc4aa276d

11131559749485 has 36 divisors (see below), whose sum is σ = 22444859254428. Its totient is φ = 5088713027328.

The previous prime is 11131559749463. The next prime is 11131559749517. The reversal of 11131559749485 is 58494795513111.

11131559749485 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 55 + 97 + 494 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2606952535236 + 8524607214249 = 1614606^2 + 2919693^2 .

It is not a de Polignac number, because 11131559749485 - 211 = 11131559747437 is a prime.

It is a super-3 number, since 3×111315597494853 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2524161004 + ... + 2524165413.

It is an arithmetic number, because the mean of its divisors is an integer number (623468312623).

Almost surely, 211131559749485 is an apocalyptic number.

11131559749485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11131559749485 is an abundant number, since it is smaller than the sum of its proper divisors (11313299504943).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131559749485 is a wasteful number, since it uses less digits than its factorization.

11131559749485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048326442 (or 5048326432 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 63.

The spelling of 11131559749485 in words is "eleven trillion, one hundred thirty-one billion, five hundred fifty-nine million, seven hundred forty-nine thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5048326417 15144979251 25241632085 35338284919 45434937753 75724896255 106014854757 176691424595 227174688765 247367994433 318044564271 530074273785 742103983299 1236839972165 1590222821355 2226311949897 3710519916495 11131559749485