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1089888912 = 243373531021
BaseRepresentation
bin100000011110110…
…0110001010010000
32210221211002112000
41000331212022100
54213002421122
6300052034000
736002621460
oct10075461220
92727732460
101089888912
1150a239742
12265002900
13144a506a8
14a4a69ba0
1565a3a0ac
hex40f66290

1089888912 has 160 divisors (see below), whose sum is σ = 3588936960. Its totient is φ = 310210560.

The previous prime is 1089888901. The next prime is 1089888913. The reversal of 1089888912 is 2198889801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089888913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066962 + ... + 1067982.

It is an arithmetic number, because the mean of its divisors is an integer number (22430856).

Almost surely, 21089888912 is an apocalyptic number.

1089888912 is a gapful number since it is divisible by the number (12) 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 1089888912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794468480).

1089888912 is an abundant number, since it is smaller than the sum of its proper divisors (2499048048).

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

1089888912 is a wasteful number, since it uses less digits than its factorization.

1089888912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The square root of 1089888912 is about 33013.4656163209. The cubic root of 1089888912 is about 1029.1075034943.

The spelling of 1089888912 in words is "one billion, eighty-nine million, eight hundred eighty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 353 378 432 504 706 756 1008 1021 1059 1412 1512 2042 2118 2471 2824 3024 3063 3177 4084 4236 4942 5648 6126 6354 7147 7413 8168 8472 9189 9531 9884 12252 12708 14294 14826 16336 16944 18378 19062 19768 21441 22239 24504 25416 27567 28588 29652 36756 38124 39536 42882 44478 49008 50832 55134 57176 59304 64323 66717 73512 76248 85764 88956 110268 114352 118608 128646 133434 147024 152496 171528 177912 192969 220536 257292 266868 343056 355824 360413 385938 441072 514584 533736 720826 771876 1029168 1067472 1081239 1441652 1543752 2162478 2522891 2883304 3087504 3243717 4324956 5045782 5766608 6487434 7568673 8649912 9731151 10091564 12974868 15137346 17299824 19462302 20183128 22706019 25949736 30274692 38924604 40366256 45412038 51899472 60549384 68118057 77849208 90824076 121098768 136236114 155698416 181648152 272472228 363296304 544944456 1089888912