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11009165379000 = 233535936188401
BaseRepresentation
bin1010000000110100010101…
…1001000100010110111000
31102222110120122221011122220
42200031011121010112320
52420333232314112000
635225312445244040
72214246244466025
oct240150531042670
942873518834586
1011009165379000
113564a629368a8
121299797263620
1361b210229239
142a0bbc91a54c
151415911521a0
hexa03456445b8

11009165379000 has 128 divisors (see below), whose sum is σ = 34406524975680. Its totient is φ = 2930826240000.

The previous prime is 11009165378999. The next prime is 11009165379011. The reversal of 11009165379000 is 97356190011.

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 31 ways as a sum of consecutive naturals, for example, 1315201 + ... + 4873200.

Almost surely, 211009165379000 is an apocalyptic number.

11009165379000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11009165379000 is an abundant number, since it is smaller than the sum of its proper divisors (23397359596680).

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

11009165379000 is a wasteful number, since it uses less digits than its factorization.

11009165379000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189018 (or 6189004 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The spelling of 11009165379000 in words is "eleven trillion, nine billion, one hundred sixty-five million, three hundred seventy-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 593 600 750 1000 1186 1500 1779 2372 2965 3000 3558 4744 5930 7116 8895 11860 14232 14825 17790 23720 29650 35580 44475 59300 71160 74125 88950 118600 148250 177900 222375 296500 355800 444750 593000 889500 1779000 6188401 12376802 18565203 24753604 30942005 37130406 49507208 61884010 74260812 92826015 123768020 148521624 154710025 185652030 247536040 309420050 371304060 464130075 618840100 742608120 773550125 928260150 1237680200 1547100250 1856520300 2320650375 3094200500 3669721793 3713040600 4641300750 6188401000 7339443586 9282601500 11009165379 14678887172 18348608965 18565203000 22018330758 29357774344 36697217930 44036661516 55045826895 73394435860 88073323032 91743044825 110091653790 146788871720 183486089650 220183307580 275229134475 366972179300 440366615160 458715224125 550458268950 733944358600 917430448250 1100916537900 1376145672375 1834860896500 2201833075800 2752291344750 3669721793000 5504582689500 11009165379000