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11085336834 = 23112138631361
BaseRepresentation
bin10100101001011110…
…01101000100000010
31001121120000110100220
422110233031010002
5140200321234314
65031553123510
7541463544165
oct122457150402
931546013326
1011085336834
114779424700
122194559596
131078805c10
14772365adc
1544d2e93a9
hex294bcd102

11085336834 has 96 divisors (see below), whose sum is σ = 26293704192. Its totient is φ = 3094924800.

The previous prime is 11085336799. The next prime is 11085336851. The reversal of 11085336834 is 43863358011.

11085336834 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8144314 + ... + 8145674.

It is an arithmetic number, because the mean of its divisors is an integer number (273892752).

Almost surely, 211085336834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11085336834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146852096).

11085336834 is an abundant number, since it is smaller than the sum of its proper divisors (15208367358).

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

11085336834 is a wasteful number, since it uses less digits than its factorization.

11085336834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 11085336834 in words is "eleven billion, eighty-five million, three hundred thirty-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 863 1361 1573 1726 2589 2722 3146 4083 4719 5178 8166 9438 9493 11219 14971 17693 18986 22438 28479 29942 33657 35386 44913 53079 56958 67314 89826 104423 106158 123409 164681 194623 208846 246818 313269 329362 370227 389246 494043 583869 626538 740454 988086 1167738 1174543 1357499 2140853 2349086 2714998 3523629 4072497 4281706 6422559 7047258 8144994 12845118 12919973 15269059 25839946 30538118 38759919 45807177 77519838 91614354 142119703 167959649 284239406 335919298 426359109 503878947 852718218 1007757894 1847556139 3695112278 5542668417 11085336834