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1116518112 = 253217972351
BaseRepresentation
bin100001010001100…
…1011011011100000
32212210220222220200
41002203023123200
54241312034422
6302442505200
736445150563
oct10243133340
92783828820
101116518112
11523277646
12271b05200
1314a415308
14a83dc4da
156804a2ac
hex428cb6e0

1116518112 has 144 divisors (see below), whose sum is σ = 3397972032. Its totient is φ = 346521600.

The previous prime is 1116518111. The next prime is 1116518131. The reversal of 1116518112 is 2118156111.

1116518112 is a `hidden beast` number, since 1 + 1 + 1 + 651 + 8 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11165181122 = 2493225388848089088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116518111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473737 + ... + 476087.

It is an arithmetic number, because the mean of its divisors is an integer number (23597028).

Almost surely, 21116518112 is an apocalyptic number.

1116518112 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 1116518112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698986016).

1116518112 is an abundant number, since it is smaller than the sum of its proper divisors (2281453920).

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

1116518112 is a wasteful number, since it uses less digits than its factorization.

1116518112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2470 counting only the distinct ones).

The product of its digits is 480, while the sum is 27.

The square root of 1116518112 is about 33414.3399156709. The cubic root of 1116518112 is about 1037.4215316277.

The spelling of 1116518112 in words is "one billion, one hundred sixteen million, five hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 97 102 136 144 153 194 204 272 288 291 306 388 408 544 582 612 776 816 873 1164 1224 1552 1632 1649 1746 2328 2351 2448 3104 3298 3492 4656 4702 4896 4947 6596 6984 7053 9312 9404 9894 13192 13968 14106 14841 18808 19788 21159 26384 27936 28212 29682 37616 39576 39967 42318 52768 56424 59364 75232 79152 79934 84636 112848 118728 119901 158304 159868 169272 225696 228047 237456 239802 319736 338544 359703 456094 474912 479604 639472 677088 684141 719406 912188 959208 1278944 1368282 1438812 1824376 1918416 2052423 2736564 2877624 3648752 3836832 3876799 4104846 5473128 5755248 7297504 7753598 8209692 10946256 11510496 11630397 15507196 16419384 21892512 23260794 31014392 32838768 34891191 46521588 62028784 65677536 69782382 93043176 124057568 139564764 186086352 279129528 372172704 558259056 1116518112