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11818337216 = 26797431631
BaseRepresentation
bin10110000000110110…
…11000001111000000
31010111122021201212012
423000123120033000
5143200443242331
65232415552052
7565604131430
oct130033301700
933448251765
1011818337216
115015163744
122359b2b628
13116462ab5a
148018502c0
1549283982b
hex2c06d83c0

11818337216 has 112 divisors (see below), whose sum is σ = 27184453632. Its totient is φ = 4993228800.

The previous prime is 11818337189. The next prime is 11818337221. The reversal of 11818337216 is 61273381811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18729221 + ... + 18729851.

It is an arithmetic number, because the mean of its divisors is an integer number (242718336).

Almost surely, 211818337216 is an apocalyptic number.

11818337216 is a gapful number since it is divisible by the number (16) 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 11818337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592226816).

11818337216 is an abundant number, since it is smaller than the sum of its proper divisors (15366116416).

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

11818337216 is an equidigital number, since it uses as much as digits as its factorization.

11818337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1168 counting only the distinct ones).

The product of its digits is 48384, while the sum is 41.

The spelling of 11818337216 in words is "eleven billion, eight hundred eighteen million, three hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 431 448 631 679 776 862 1262 1358 1552 1724 2524 2716 3017 3104 3448 4417 5048 5432 6034 6208 6896 8834 10096 10864 12068 13792 17668 20192 21728 24136 27584 35336 40384 41807 43456 48272 61207 70672 83614 96544 122414 141344 167228 193088 244828 271961 282688 292649 334456 428449 489656 543922 585298 668912 856898 979312 1087844 1170596 1337824 1713796 1903727 1958624 2175688 2341192 2675648 3427592 3807454 3917248 4351376 4682384 6855184 7614908 8702752 9364768 13710368 15229816 17405504 18729536 26380217 27420736 30459632 52760434 60919264 105520868 121838528 184661519 211041736 369323038 422083472 738646076 844166944 1477292152 1688333888 2954584304 5909168608 11818337216