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68084336376 = 2333782754449
BaseRepresentation
bin111111011010001001…
…001000011011111000
320111201220200122102000
4333122021020123320
52103414042231001
651135535341000
74630123211340
oct773211103370
9214656618360
1068084336376
11269689186a1
1211241381760
1365605bb394
14341c431d20
151b8735ba86
hexfda2486f8

68084336376 has 128 divisors (see below), whose sum is σ = 216406080000. Its totient is φ = 19428788736.

The previous prime is 68084336311. The next prime is 68084336381. The reversal of 68084336376 is 67363348086.

68084336376 is a `hidden beast` number, since 6 + 80 + 8 + 433 + 63 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1223200 + ... + 1277648.

It is an arithmetic number, because the mean of its divisors is an integer number (1690672500).

Almost surely, 268084336376 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 68084336376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108203040000).

68084336376 is an abundant number, since it is smaller than the sum of its proper divisors (148321743624).

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

68084336376 is a wasteful number, since it uses less digits than its factorization.

68084336376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55298 (or 55288 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 68084336376 in words is "sixty-eight billion, eighty-four million, three hundred thirty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 827 1512 1654 2481 3308 4962 5789 6616 7443 9924 11578 14886 17367 19848 22329 23156 29772 34734 44658 46312 52101 54449 59544 69468 89316 104202 108898 138936 156303 163347 178632 208404 217796 312606 326694 381143 416808 435592 490041 625212 653388 762286 980082 1143429 1250424 1306776 1470123 1524572 1960164 2286858 2940246 3049144 3430287 3920328 4573716 5880492 6860574 9147432 10290861 11760984 13721148 20581722 27442296 41163444 45029323 82326888 90058646 135087969 180117292 270175938 315205261 360234584 405263907 540351876 630410522 810527814 945615783 1080703752 1215791721 1260821044 1621055628 1891231566 2431583442 2521642088 2836847349 3242111256 3782463132 4863166884 5673694698 7564926264 8510542047 9726333768 11347389396 17021084094 22694778792 34042168188 68084336376