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11153036361016 = 23112361179504661
BaseRepresentation
bin1010001001001100010011…
…0001010011110100111000
31110111012221021120022110101
42202103010301103310320
52430212404302023031
635415344551525144
72230531431611134
oct242230461236470
943435837508411
1011153036361016
11360aa812a3030
1213016493897b4
1362b95aa79124
142a7b4a2b63c4
151451b1b11361
hexa24c4c53d38

11153036361016 has 128 divisors (see below), whose sum is σ = 24330360614400. Its totient is φ = 4742996544000.

The previous prime is 11153036361011. The next prime is 11153036361037. The reversal of 11153036361016 is 61016363035111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11153036361011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21847726 + ... + 22352386.

It is an arithmetic number, because the mean of its divisors is an integer number (190080942300).

Almost surely, 211153036361016 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 11153036361016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165180307200).

11153036361016 is an abundant number, since it is smaller than the sum of its proper divisors (13177324253384).

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

11153036361016 is a wasteful number, since it uses less digits than its factorization.

11153036361016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504941 (or 504937 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

Adding to 11153036361016 its reverse (61016363035111), we get a palindrome (72169399396127).

The spelling of 11153036361016 in words is "eleven trillion, one hundred fifty-three billion, thirty-six million, three hundred sixty-one thousand, sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 122 179 184 244 253 358 488 506 671 716 1012 1342 1403 1432 1969 2024 2684 2806 3938 4117 5368 5612 7876 8234 10919 11224 15433 15752 16468 21838 30866 32936 43676 45287 61732 87352 90574 120109 123464 181148 240218 251137 362296 480436 502274 504661 960872 1004548 1009322 2009096 2018644 2762507 4037288 5525014 5551271 11050028 11102542 11607203 22100056 22205084 23214406 30784321 44410168 46428812 61568642 90334319 92857624 123137284 127679233 180668638 246274568 255358466 338627531 361337276 510716932 677255062 708039383 722674552 993677509 1021433864 1354510124 1416078766 1987355018 2077689337 2709020248 2832157532 3974710036 4155378674 5510393459 5664315064 7788433213 7949420072 8310757348 11020786918 15576866426 16621514696 22041573836 22854582707 31153732852 44083147672 45709165414 60614328049 62307465704 91418330828 121228656098 126739049557 182836661656 242457312196 253478099114 484914624392 506956198228 1013912396456 1394129545127 2788259090254 5576518180508 11153036361016