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11089325250 = 234531732213
BaseRepresentation
bin10100101001111100…
…11010110011000010
31001121211112002110000
422110332122303002
5140202331402000
65032214420430
7541542465213
oct122476326302
931554462400
1011089325250
1147806a9213
122195961716
1310795a1423
14772ac340a
1544d836000
hex294f9acc2

11089325250 has 160 divisors (see below), whose sum is σ = 32835859056. Its totient is φ = 2783116800.

The previous prime is 11089325249. The next prime is 11089325257. The reversal of 11089325250 is 5252398011.

11089325250 is a `hidden beast` number, since 1 + 1 + 0 + 89 + 325 + 250 = 666.

11089325250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3450740049 + 7638585201 = 58743^2 + 87399^2 .

It is not an unprimeable number, because it can be changed into a prime (11089325257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328144 + ... + 360356.

Almost surely, 211089325250 is an apocalyptic number.

11089325250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11089325250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16417929528).

11089325250 is an abundant number, since it is smaller than the sum of its proper divisors (21746533806).

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

11089325250 is a wasteful number, since it uses less digits than its factorization.

11089325250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32259 (or 32240 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11089325250 in words is "eleven billion, eighty-nine million, three hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 125 135 150 153 162 170 225 250 255 270 306 375 405 425 450 459 510 675 750 765 810 850 918 1125 1275 1350 1377 1530 2025 2125 2250 2295 2550 2754 3375 3825 4050 4250 4590 6375 6750 6885 7650 10125 11475 12750 13770 19125 20250 22950 32213 34425 38250 57375 64426 68850 96639 114750 161065 172125 193278 289917 322130 344250 483195 547621 579834 805325 869751 966390 1095242 1449585 1610650 1642863 1739502 2415975 2609253 2738105 2899170 3285726 4026625 4348755 4831950 4928589 5218506 5476210 7247925 8053250 8214315 8697510 9857178 12079875 13046265 13690525 14495850 14785767 16428630 21743775 24159750 24642945 26092530 27381050 29571534 36239625 41071575 43487550 44357301 49285890 65231325 68452625 72479250 73928835 82143150 88714602 108718875 123214725 130462650 136905250 147857670 205357875 217437750 221786505 246429450 326156625 369644175 410715750 443573010 616073625 652313250 739288350 1108932525 1232147250 1848220875 2217865050 3696441750 5544662625 11089325250