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11786114940 = 22352359144757
BaseRepresentation
bin10101111101000000…
…11101011101111100
31010102101122200012120
422332200131131330
5143114221134230
65225305202540
7565033216065
oct127640353574
933371580176
1011786114940
114aa8a55666
12234b190450
13115aa58512
147db46356c
1548eac2310
hex2be81d77c

11786114940 has 96 divisors (see below), whose sum is σ = 35019855360. Its totient is φ = 2955338496.

The previous prime is 11786114927. The next prime is 11786114957. The reversal of 11786114940 is 4941168711.

It is a junction number, because it is equal to n+sod(n) for n = 11786114892 and 11786114901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9042 + ... + 153798.

It is an arithmetic number, because the mean of its divisors is an integer number (364790160).

Almost surely, 211786114940 is an apocalyptic number.

11786114940 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 11786114940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509927680).

11786114940 is an abundant number, since it is smaller than the sum of its proper divisors (23233740420).

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

11786114940 is a wasteful number, since it uses less digits than its factorization.

11786114940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144851 (or 144849 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 11786114940 in words is "eleven billion, seven hundred eighty-six million, one hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 59 60 69 92 115 118 138 177 230 236 276 295 345 354 460 590 690 708 885 1180 1357 1380 1770 2714 3540 4071 5428 6785 8142 13570 16284 20355 27140 40710 81420 144757 289514 434271 579028 723785 868542 1447570 1737084 2171355 2895140 3329411 4342710 6658822 8540663 8685420 9988233 13317644 16647055 17081326 19976466 25621989 33294110 34162652 39952932 42703315 49941165 51243978 66588220 85406630 99882330 102487956 128109945 170813260 196435249 199764660 256219890 392870498 512439780 589305747 785740996 982176245 1178611494 1964352490 2357222988 2946528735 3928704980 5893057470 11786114940