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11028678120 = 233458341011
BaseRepresentation
bin10100100010101110…
…00100010111101000
31001110121101220020000
422101113010113220
5140041320144440
65022210503000
7540205134345
oct122127042750
931417356200
1011028678120
11474a446119
122179594a60
131069b58a55
14768a177cc
15448356730
hex2915c45e8

11028678120 has 160 divisors (see below), whose sum is σ = 37516137120. Its totient is φ = 2905476480.

The previous prime is 11028678113. The next prime is 11028678121. The reversal of 11028678120 is 2187682011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11028678121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248415 + ... + 289425.

It is an arithmetic number, because the mean of its divisors is an integer number (234475857).

Almost surely, 211028678120 is an apocalyptic number.

11028678120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11028678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758068560).

11028678120 is an abundant number, since it is smaller than the sum of its proper divisors (26487459000).

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

11028678120 is a wasteful number, since it uses less digits than its factorization.

11028678120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41117 (or 41104 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11028678120 in words is "eleven billion, twenty-eight million, six hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 83 90 108 120 135 162 166 180 216 249 270 324 332 360 405 415 498 540 648 664 747 810 830 996 1080 1245 1494 1620 1660 1992 2241 2490 2988 3240 3320 3735 4482 4980 5976 6723 7470 8964 9960 11205 13446 14940 17928 22410 26892 29880 33615 41011 44820 53784 67230 82022 89640 123033 134460 164044 205055 246066 268920 328088 369099 410110 492132 615165 738198 820220 984264 1107297 1230330 1476396 1640440 1845495 2214594 2460660 2952792 3321891 3403913 3690990 4429188 4921320 5536485 6643782 6807826 7381980 8858376 10211739 11072970 13287564 13615652 14763960 16609455 17019565 20423478 22145940 26575128 27231304 30635217 33218910 34039130 40846956 44291880 51058695 61270434 66437820 68078260 81693912 91905651 102117390 122540868 132875640 136156520 153176085 183811302 204234780 245081736 275716953 306352170 367622604 408469560 459528255 551433906 612704340 735245208 919056510 1102867812 1225408680 1378584765 1838113020 2205735624 2757169530 3676226040 5514339060 11028678120