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68399411400 = 233252143926407
BaseRepresentation
bin111111101100111011…
…000011000011001000
320112112212120010002100
4333230323003003020
52110040222131100
651231112433400
74641000255405
oct775473030310
9215485503070
1068399411400
112700a759181
121130a9a8860
1365b09669c8
14344c20b2ac
151ba4d47400
hexfecec30c8

68399411400 has 144 divisors (see below), whose sum is σ = 229876358400. Its totient is φ = 18226477440.

The previous prime is 68399411393. The next prime is 68399411459. The reversal of 68399411400 is 411499386.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2576997 + ... + 2603403.

It is an arithmetic number, because the mean of its divisors is an integer number (1596363600).

Almost surely, 268399411400 is an apocalyptic number.

68399411400 is a gapful number since it is divisible by the number (60) 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 68399411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114938179200).

68399411400 is an abundant number, since it is smaller than the sum of its proper divisors (161476947000).

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

68399411400 is a wasteful number, since it uses less digits than its factorization.

68399411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27868 (or 27856 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 68399411400 in words is "sixty-eight billion, three hundred ninety-nine million, four hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1439 1800 2878 4317 5756 7195 8634 11512 12951 14390 17268 21585 25902 26407 28780 34536 35975 43170 51804 52814 57560 64755 71950 79221 86340 103608 105628 107925 129510 132035 143900 158442 172680 211256 215850 237663 259020 264070 287800 316884 323775 396105 431700 475326 518040 528140 633768 647550 660175 792210 863400 950652 1056280 1188315 1295100 1320350 1584420 1901304 1980525 2376630 2590200 2640700 3168840 3961050 4753260 5281400 5941575 7922100 9506520 11883150 15844200 23766300 37999673 47532600 75999346 113999019 151998692 189998365 227998038 303997384 341997057 379996730 455996076 569995095 683994114 759993460 911992152 949991825 1139990190 1367988228 1519986920 1709985285 1899983650 2279980380 2735976456 2849975475 3419970570 3799967300 4559960760 5699950950 6839941140 7599934600 8549926425 11399901900 13679882280 17099852850 22799803800 34199705700 68399411400