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11226803808 = 2531117236787
BaseRepresentation
bin10100111010010101…
…10110111001100000
31001222102012201120110
422131022312321200
5140443030210213
65054005211320
7545132154303
oct123512667140
931872181513
1011226803808
114841268960
122213a00b40
13109bc07b9c
1478706cb3a
1545a9405c3
hex29d2b6e60

11226803808 has 144 divisors (see below), whose sum is σ = 34152801984. Its totient is φ = 3201853440.

The previous prime is 11226803789. The next prime is 11226803813. The reversal of 11226803808 is 80830862211.

11226803808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112268038082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286791 + ... + 323577.

It is an arithmetic number, because the mean of its divisors is an integer number (237172236).

Almost surely, 211226803808 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 11226803808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076400992).

11226803808 is an abundant number, since it is smaller than the sum of its proper divisors (22925998176).

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

11226803808 is a wasteful number, since it uses less digits than its factorization.

11226803808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36845 (or 36820 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 11226803808 in words is "eleven billion, two hundred twenty-six million, eight hundred three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 289 352 374 408 528 544 561 578 748 816 867 1056 1122 1156 1496 1632 1734 2244 2312 2992 3179 3468 4488 4624 5984 6358 6936 8976 9248 9537 12716 13872 17952 19074 25432 27744 36787 38148 50864 73574 76296 101728 110361 147148 152592 220722 294296 305184 404657 441444 588592 625379 809314 882888 1177184 1213971 1250758 1618628 1765776 1876137 2427942 2501516 3237256 3531552 3752274 4855884 5003032 6474512 6879169 7504548 9711768 10006064 10631443 12949024 13758338 15009096 19423536 20012128 20637507 21262886 27516676 30018192 31894329 38847072 41275014 42525772 55033352 60036384 63788658 82550028 85051544 110066704 116945873 127577316 165100056 170103088 220133408 233891746 255154632 330200112 340206176 350837619 467783492 510309264 660400224 701675238 935566984 1020618528 1403350476 1871133968 2806700952 3742267936 5613401904 11226803808