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11284768485 = 3252292574261
BaseRepresentation
bin10101000001001111…
…11110011011100101
31002010110021122011100
422200213332123211
5141102400042420
65103435430313
7546434643444
oct124047763345
932113248140
1011284768485
114870a59651
12222b2b5399
1310aac21603
14790a3ad5b
15460a90190
hex2a09fe6e5

11284768485 has 48 divisors (see below), whose sum is σ = 19726752240. Its totient is φ = 5967544320.

The previous prime is 11284768457. The next prime is 11284768499. The reversal of 11284768485 is 58486748211.

11284768485 is a `hidden beast` number, since 1 + 12 + 8 + 476 + 84 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6034027041 + 5250741444 = 77679^2 + 72462^2 .

It is not a de Polignac number, because 11284768485 - 218 = 11284506341 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 2646255 + ... + 2650515.

It is an arithmetic number, because the mean of its divisors is an integer number (410974005).

Almost surely, 211284768485 is an apocalyptic number.

11284768485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11284768485 is a deficient number, since it is larger than the sum of its proper divisors (8441983755).

11284768485 is a wasteful number, since it uses less digits than its factorization.

11284768485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4755 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 11284768485 in words is "eleven billion, two hundred eighty-four million, seven hundred sixty-eight thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 45 229 257 687 771 1145 1285 2061 2313 3435 3855 4261 10305 11565 12783 21305 38349 58853 63915 176559 191745 294265 529677 882795 975769 1095077 2648385 2927307 3285231 4878845 5475385 8781921 9855693 14636535 16426155 43909605 49278465 250772633 752317899 1253863165 2256953697 3761589495 11284768485