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11048728548 = 22311132523947
BaseRepresentation
bin10100100101000111…
…00011011111100100
31001112000010120020110
422102203203133210
5140111433303143
65024204333020
7540540433404
oct122243433744
931460116213
1011048728548
11475a7a0320
122184244170
131071059100
1476b556804
15449eb7533
hex2928e37e4

11048728548 has 144 divisors (see below), whose sum is σ = 30544286976. Its totient is φ = 3081386880.

The previous prime is 11048728529. The next prime is 11048728549. The reversal of 11048728548 is 84582784011.

11048728548 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11048728497 and 11048728506.

It is not an unprimeable number, because it can be changed into a prime (11048728549) 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 47 ways as a sum of consecutive naturals, for example, 11666611 + ... + 11667557.

It is an arithmetic number, because the mean of its divisors is an integer number (212113104).

Almost surely, 211048728548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11048728548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272143488).

11048728548 is an abundant number, since it is smaller than the sum of its proper divisors (19495558428).

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

11048728548 is a wasteful number, since it uses less digits than its factorization.

11048728548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 11048728548 in words is "eleven billion, forty-eight million, seven hundred twenty-eight thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 523 572 676 858 947 1014 1046 1569 1716 1859 1894 2028 2092 2841 3138 3718 3788 5577 5682 5753 6276 6799 7436 10417 11154 11364 11506 12311 13598 17259 20397 20834 22308 23012 24622 27196 31251 34518 36933 40794 41668 49244 62502 69036 73866 74789 81588 88387 125004 135421 147732 149578 160043 176774 224367 265161 270842 299156 320086 353548 406263 448734 480129 495281 530322 541684 640172 812526 897468 960258 972257 990562 1060644 1485843 1625052 1760473 1920516 1944514 1981124 2916771 2971686 3520946 3889028 5281419 5448091 5833542 5943372 6438653 7041892 10562838 10896182 11667084 12877306 16344273 19315959 21125676 21792364 25754612 32688546 38631918 65377092 70825183 77263836 83702489 141650366 167404978 212475549 251107467 283300732 334809956 424951098 502214934 849902196 920727379 1004429868 1841454758 2762182137 3682909516 5524364274 11048728548