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11793868188036 = 223113171232922861
BaseRepresentation
bin1010101110011111100101…
…0100101110100110000100
31112202111000221201002121020
42223213321110232212010
53021212320224004121
641030010033551140
72325036022351464
oct253477124564604
945674027632536
1011793868188036
11383782a143610
1213a58927154b0
13677206c0350c
142cab7d3b9ba4
15156bbb4c81c6
hexab9f952e984

11793868188036 has 96 divisors (see below), whose sum is σ = 30119218174080. Its totient is φ = 3562180531200.

The previous prime is 11793868188031. The next prime is 11793868188071. The reversal of 11793868188036 is 63088186839711.

It is not an unprimeable number, because it can be changed into a prime (11793868188031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515883246 + ... + 515906106.

It is an arithmetic number, because the mean of its divisors is an integer number (313741855980).

Almost surely, 211793868188036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11793868188036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15059609087040).

11793868188036 is an abundant number, since it is smaller than the sum of its proper divisors (18325349986044).

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

11793868188036 is a wasteful number, since it uses less digits than its factorization.

11793868188036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35525 (or 35523 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 69.

The spelling of 11793868188036 in words is "eleven trillion, seven hundred ninety-three billion, eight hundred sixty-eight million, one hundred eighty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 317 634 951 1268 1902 3487 3804 6974 10461 12329 13948 20922 22861 24658 36987 41844 45722 49316 68583 73974 91444 135619 137166 147948 251471 271238 274332 406857 502942 542476 754413 813714 1005884 1508826 1627428 3017652 3908293 7246937 7816586 11724879 14493874 15633172 21740811 23449758 28987748 42991223 43481622 46899516 79716307 85982446 86963244 128973669 159432614 171964892 239148921 257947338 281853269 318865228 478297842 515894676 563706538 845559807 956595684 1127413076 1691119614 3100385959 3382239228 6200771918 9301157877 12401543836 18602315754 37204631508 89347486273 178694972546 268042458819 357389945092 536084917638 982822349003 1072169835276 1965644698006 2948467047009 3931289396012 5896934094018 11793868188036