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11044132663600 = 2452227123198807
BaseRepresentation
bin1010000010110110100110…
…0110101011000100110000
31110002210211121001021111201
42200231221212223010300
52421421340430213400
635253334323420544
72216624621504131
oct240555146530460
943083747037451
1011044132663600
113578876a72313
1212a4515824754
136215c3736c9a
142a277894bc88
1514243adbe06a
hexa0b699ab130

11044132663600 has 120 divisors (see below), whose sum is σ = 26672335861248. Its totient is φ = 4394574700800.

The previous prime is 11044132663589. The next prime is 11044132663607. The reversal of 11044132663600 is 636623144011.

It is a self number, because there is not a number n which added to its sum of digits gives 11044132663600.

It is not an unprimeable number, because it can be changed into a prime (11044132663607) 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 23 ways as a sum of consecutive naturals, for example, 111725397 + ... + 111824203.

Almost surely, 211044132663600 is an apocalyptic number.

11044132663600 is a gapful number since it is divisible by the number (10) 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 11044132663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13336167930624).

11044132663600 is an abundant number, since it is smaller than the sum of its proper divisors (15628203197648).

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

11044132663600 is a wasteful number, since it uses less digits than its factorization.

11044132663600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100283 (or 100272 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 11044132663600 in words is "eleven trillion, forty-four billion, one hundred thirty-two million, six hundred sixty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 227 400 454 908 1135 1231 1816 2270 2462 3632 4540 4924 5675 6155 9080 9848 11350 12310 18160 19696 22700 24620 30775 45400 49240 61550 90800 98480 98807 123100 197614 246200 279437 395228 492400 494035 558874 790456 988070 1117748 1397185 1580912 1976140 2235496 2470175 2794370 3952280 4470992 4940350 5588740 6985925 7904560 9880700 11177480 13971850 19761400 22354960 22429189 27943700 39522800 44858378 55887400 89716756 111774800 112145945 121631417 179433512 224291890 243262834 358867024 448583780 486525668 560729725 608157085 897167560 973051336 1121459450 1216314170 1794335120 1946102672 2242918900 2432628340 3040785425 4485837800 4865256680 6081570850 8971675600 9730513360 12163141700 24326283400 27610331659 48652566800 55220663318 110441326636 138051658295 220882653272 276103316590 441765306544 552206633180 690258291475 1104413266360 1380516582950 2208826532720 2761033165900 5522066331800 11044132663600