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83966477820 = 223513982112263
BaseRepresentation
bin100111000110011001…
…0101100010111111100
322000201202202000122220
41032030302230113330
52333430404242240
6102323525005340
76031524166611
oct1161462542774
9260652660586
1083966477820
1132678984625
1214334253850
137bc1b1a304
1440c7884508
1522b68215d0
hex138ccac5fc

83966477820 has 96 divisors (see below), whose sum is σ = 237105308160. Its totient is φ = 22201086720.

The previous prime is 83966477801. The next prime is 83966477839. The reversal of 83966477820 is 2877466938.

It is an interprime number because it is at equal distance from previous prime (83966477801) and next prime (83966477839).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 6841009 + ... + 6853271.

It is an arithmetic number, because the mean of its divisors is an integer number (2469846960).

Almost surely, 283966477820 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 83966477820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552654080).

83966477820 is an abundant number, since it is smaller than the sum of its proper divisors (153138830340).

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

83966477820 is a wasteful number, since it uses less digits than its factorization.

83966477820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13235 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 83966477820 in words is "eighty-three billion, nine hundred sixty-six million, four hundred seventy-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 821 834 1390 1642 1668 2085 2463 2780 3284 4105 4170 4926 8210 8340 9852 12263 12315 16420 24526 24630 36789 49052 49260 61315 73578 114119 122630 147156 183945 228238 245260 342357 367890 456476 570595 684714 735780 1141190 1369428 1704557 1711785 2282380 3409114 3423570 5113671 6818228 6847140 8522785 10067923 10227342 17045570 20135846 20454684 25568355 30203769 34091140 40271692 50339615 51136710 60407538 100679230 102273420 120815076 151018845 201358460 302037690 604075380 1399441297 2798882594 4198323891 5597765188 6997206485 8396647782 13994412970 16793295564 20991619455 27988825940 41983238910 83966477820