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11055512104 = 2372135340933
BaseRepresentation
bin10100100101111010…
…11011101000101000
31001112110220012112021
422102331123220220
5140120202341404
65025005554224
7540652205500
oct122275335050
931473805467
1011055512104
11476360396a
122186575974
131072592950
1476c400a00
1544a8a7454
hex292f5ba28

11055512104 has 96 divisors (see below), whose sum is σ = 26458918920. Its totient is φ = 4290983424.

The previous prime is 11055512087. The next prime is 11055512123. The reversal of 11055512104 is 40121555011.

11055512104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7668504900 + 3387007204 = 87570^2 + 58198^2 .

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, 249622 + ... + 290554.

Almost surely, 211055512104 is an apocalyptic number.

11055512104 is a gapful number since it is divisible by the number (14) 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 11055512104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229459460).

11055512104 is an abundant number, since it is smaller than the sum of its proper divisors (15403406816).

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

11055512104 is a wasteful number, since it uses less digits than its factorization.

11055512104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41019 (or 41008 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

The spelling of 11055512104 in words is "eleven billion, fifty-five million, five hundred twelve thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 53 56 91 98 104 106 182 196 212 364 371 392 424 637 689 728 742 1274 1378 1484 2548 2597 2756 2968 4823 5096 5194 5512 9646 10388 19292 20776 33761 38584 40933 67522 81866 135044 163732 270088 286531 327464 532129 573062 1064258 1146124 2005717 2128516 2169449 2292248 3724903 4011434 4257032 4338898 7449806 8022868 8677796 14899612 15186143 16045736 17355592 26074321 28202837 29799224 30372286 52148642 56405674 60744572 104297284 106303001 112811348 121489144 197419859 208594568 212606002 225622696 394839718 425212004 789679436 850424008 1381939013 1579358872 2763878026 5527756052 11055512104