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11341503959000 = 2353191151518611
BaseRepresentation
bin1010010100001010011001…
…0100001000111111011000
31111011020101220121021110012
42211002212110020333120
52441304400003142000
640042114234341052
72250253020013625
oct245024624107730
944136356537405
1011341503959000
1136829a5348976
12133208688a788
13643664a82487
142b2d088d934c
1514a0428cc735
hexa50a6508fd8

11341503959000 has 128 divisors (see below), whose sum is σ = 27960239923200. Its totient is φ = 4294090800000.

The previous prime is 11341503958957. The next prime is 11341503959029. The reversal of 11341503959000 is 95930514311.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21609695 + ... + 22128305.

It is an arithmetic number, because the mean of its divisors is an integer number (218439374400).

Almost surely, 211341503959000 is an apocalyptic number.

11341503959000 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 11341503959000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980119961600).

11341503959000 is an abundant number, since it is smaller than the sum of its proper divisors (16618735964200).

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

11341503959000 is a wasteful number, since it uses less digits than its factorization.

11341503959000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519802 (or 519788 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 41.

The spelling of 11341503959000 in words is "eleven trillion, three hundred forty-one billion, five hundred three million, nine hundred fifty-nine thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1151 1900 2302 2375 3800 4604 4750 5755 9208 9500 11510 19000 21869 23020 28775 43738 46040 57550 87476 109345 115100 143875 174952 218690 230200 287750 437380 518611 546725 575500 874760 1037222 1093450 1151000 2074444 2186900 2593055 2733625 4148888 4373800 5186110 5467250 9853609 10372220 10934500 12965275 19707218 20744440 21869000 25930550 39414436 49268045 51861100 64826375 78828872 98536090 103722200 129652750 197072180 246340225 259305500 394144360 492680450 518611000 596921261 985360900 1193842522 1231701125 1970721800 2387685044 2463402250 2984606305 4775370088 4926804500 5969212610 9853609000 11341503959 11938425220 14923031525 22683007918 23876850440 29846063050 45366015836 56707519795 59692126100 74615157625 90732031672 113415039590 119384252200 149230315250 226830079180 283537598975 298460630500 453660158360 567075197950 596921261000 1134150395900 1417687994875 2268300791800 2835375989750 5670751979500 11341503959000