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1108212224768 = 28112577512039
BaseRepresentation
bin10000001000000110100…
…110001001001100000000
310220221111012211000021122
4100020012212021030000
5121124104312143033
62205034454011412
7143031350325545
oct20100646111400
93827435730248
101108212224768
11397a98a01010
1215a942046b68
1380672295a7c
143b8d0016bcc
151dc6191ca98
hex10206989300

1108212224768 has 144 divisors (see below), whose sum is σ = 2427000468480. Its totient is φ = 500858880000.

The previous prime is 1108212224767. The next prime is 1108212224771. The reversal of 1108212224768 is 8674222128011.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1108212224767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543506693 + ... + 543508731.

It is an arithmetic number, because the mean of its divisors is an integer number (16854169920).

Almost surely, 21108212224768 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 1108212224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213500234240).

1108212224768 is an abundant number, since it is smaller than the sum of its proper divisors (1318788243712).

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

1108212224768 is a wasteful number, since it uses less digits than its factorization.

1108212224768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 1108212224768 in words is "one trillion, one hundred eight billion, two hundred twelve million, two hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 257 352 514 704 751 1028 1408 1502 2039 2056 2816 2827 3004 4078 4112 5654 6008 8156 8224 8261 11308 12016 16312 16448 16522 22429 22616 24032 32624 32896 33044 44858 45232 48064 65248 65792 66088 89716 90464 96128 130496 132176 179432 180928 192256 193007 260992 264352 358864 361856 386014 521984 524023 528704 717728 723712 772028 1048046 1057408 1435456 1531289 1544056 2096092 2114816 2123077 2870912 3062578 3088112 4192184 4246154 5741824 5764253 6125156 6176224 8384368 8492308 11528506 12250312 12352448 16768736 16844179 16984616 23057012 24500624 24704896 33537472 33688358 33969232 46114024 49001248 49409792 67074944 67376716 67938464 92228048 98002496 134149888 134753432 135876928 184456096 196004992 269506864 271753856 368912192 392009984 393541273 539013728 543507712 737824384 787082546 1078027456 1475648768 1574165092 2156054912 3148330184 4312109824 4328954003 6296660368 8657908006 12593320736 17315816012 25186641472 34631632024 50373282944 69263264048 100746565888 138526528096 277053056192 554106112384 1108212224768