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11044005104 = 2411434761509
BaseRepresentation
bin10100100100100011…
…00010010011110000
31001111200020120220002
422102101202103300
5140104231130404
65023515205132
7540452331416
oct122221422360
931450216802
1011044005104
114758064550
1221827467a8
131070094182
1476aa872b6
15449882c1e
hex2924624f0

11044005104 has 160 divisors (see below), whose sum is σ = 24842695680. Its totient is φ = 4710988800.

The previous prime is 11044005101. The next prime is 11044005109. The reversal of 11044005104 is 40150044011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11044005101) 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 31 ways as a sum of consecutive naturals, for example, 21697202 + ... + 21697710.

It is an arithmetic number, because the mean of its divisors is an integer number (155266848).

Almost surely, 211044005104 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 11044005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12421347840).

11044005104 is an abundant number, since it is smaller than the sum of its proper divisors (13798690576).

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

11044005104 is a wasteful number, since it uses less digits than its factorization.

11044005104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11044005104 its reverse (40150044011), we get a palindrome (51194049115).

The spelling of 11044005104 in words is "eleven billion, forty-four million, five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 43 44 47 61 86 88 94 122 172 176 188 244 344 376 473 488 509 517 671 688 752 946 976 1018 1034 1342 1892 2021 2036 2068 2623 2684 2867 3784 4042 4072 4136 5246 5368 5599 5734 7568 8084 8144 8272 10492 10736 11198 11468 16168 20984 21887 22231 22396 22936 23923 28853 31049 31537 32336 41968 43774 44462 44792 45872 47846 57706 62098 63074 87548 88924 89584 95692 115412 123281 124196 126148 175096 177848 191384 230824 240757 246562 248392 252296 263153 341539 350192 355696 382768 461648 481514 493124 496784 504592 526306 683078 963028 986248 1028689 1052612 1335107 1356091 1366156 1459303 1926056 1972496 2057378 2105224 2670214 2712182 2732312 2918606 3852112 4114756 4210448 5340428 5424364 5464624 5837212 8229512 10680856 10848728 11315579 11674424 14686177 16052333 16459024 21361712 21697456 22631158 23348848 29372354 32104666 45262316 58744708 62750029 64209332 90524632 117489416 125500058 128418664 181049264 234978832 251000116 256837328 502000232 690250319 1004000464 1380500638 2761001276 5522002552 11044005104