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83363293312 = 2713174017349
BaseRepresentation
bin100110110100011010…
…1101110100010000000
321222011201202002001221
41031220311232202000
52331212000341222
6102144020404424
76010551205315
oct1155065564200
9258151662057
1083363293312
1132399451132
12141a6246714
137b26b780c0
14406b70cd0c
15227d8c50c7
hex1368d6e880

83363293312 has 128 divisors (see below), whose sum is σ = 189869022000. Its totient is φ = 36116889600.

The previous prime is 83363293291. The next prime is 83363293357. The reversal of 83363293312 is 21339236338.

It can be written as a sum of positive squares in 8 ways, for example, as 71109688896 + 12253604416 = 266664^2 + 110696^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11339814 + ... + 11347162.

Almost surely, 283363293312 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 83363293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94934511000).

83363293312 is an abundant number, since it is smaller than the sum of its proper divisors (106505728688).

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

83363293312 is a wasteful number, since it uses less digits than its factorization.

83363293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7782 counting only the distinct ones).

The product of its digits is 419904, while the sum is 43.

The spelling of 83363293312 in words is "eighty-three billion, three hundred sixty-three million, two hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 401 416 442 544 802 832 884 1088 1604 1664 1768 2176 3208 3536 5213 6416 6817 7072 7349 10426 12832 13634 14144 14698 20852 25664 27268 28288 29396 41704 51328 54536 58792 83408 88621 95537 109072 117584 124933 166816 177242 191074 218144 235168 249866 333632 354484 382148 436288 470336 499732 667264 708968 764296 872576 940672 999464 1417936 1528592 1624129 1998928 2835872 2946949 3057184 3248258 3997856 5671744 5893898 6114368 6496516 7995712 11343488 11787796 12228736 12993032 15991424 23575592 25986064 38310337 47151184 50098133 51972128 76620674 94302368 100196266 103944256 153241348 188604736 200392532 207888512 306482696 377209472 400785064 612965392 651275729 801570128 1225930784 1302551458 1603140256 2451861568 2605102916 3206280512 4903723136 5210205832 6412561024 10420411664 20840823328 41681646656 83363293312