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11014653760 = 265115036221
BaseRepresentation
bin10100100001000011…
…00100011101000000
31001102122000101102021
422100201210131000
5140024222410020
65020550131224
7536645004115
oct122041443500
931378011367
1011014653760
114742537440
122174950b14
131066c88506
14766c0690c
15446ed61aa
hex290864740

11014653760 has 112 divisors (see below), whose sum is σ = 28674559872. Its totient is φ = 3996723200.

The previous prime is 11014653743. The next prime is 11014653823. The reversal of 11014653760 is 6735641011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767450 + ... + 1773670.

It is an arithmetic number, because the mean of its divisors is an integer number (256022856).

Almost surely, 211014653760 is an apocalyptic number.

11014653760 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 11014653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337279936).

11014653760 is an abundant number, since it is smaller than the sum of its proper divisors (17659906112).

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

11014653760 is a wasteful number, since it uses less digits than its factorization.

11014653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6752 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 11014653760 in words is "eleven billion, fourteen million, six hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 503 704 880 1006 1760 2012 2515 3520 4024 5030 5533 6221 8048 10060 11066 12442 16096 20120 22132 24884 27665 31105 32192 40240 44264 49768 55330 62210 68431 80480 88528 99536 110660 124420 136862 160960 177056 199072 221320 248840 273724 342155 354112 398144 442640 497680 547448 684310 885280 995360 1094896 1368620 1770560 1990720 2189792 2737240 3129163 4379584 5474480 6258326 10948960 12516652 15645815 21897920 25033304 31291630 34420793 50066608 62583260 68841586 100133216 125166520 137683172 172103965 200266432 250333040 275366344 344207930 500666080 550732688 688415860 1001332160 1101465376 1376831720 2202930752 2753663440 5507326880 11014653760