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68754132287460 = 22335176597210061
BaseRepresentation
bin11111010001000000100011…
…01000011011111111100100
3100000102211102200201102221000
433220200101220123333210
533002431430331144320
6402121113510353300
720324215330556364
oct1750402150337744
9300384380642830
1068754132287460
111a9a8511294794
12786501795b830
132c4964380a6b9
1412d9a097589a4
157e36bd11bc90
hex3e8811a1bfe4

68754132287460 has 96 divisors (see below), whose sum is σ = 213913887465600. Its totient is φ = 18333394485120.

The previous prime is 68754132287429. The next prime is 68754132287507. The reversal of 68754132287460 is 6478223145786.

68754132287460 is a `hidden beast` number, since 6 + 8 + 7 + 541 + 3 + 2 + 2 + 87 + 4 + 6 + 0 = 666.

68754132287460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5930830 + ... + 13140890.

It is an arithmetic number, because the mean of its divisors is an integer number (2228269661100).

Almost surely, 268754132287460 is an apocalyptic number.

68754132287460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68754132287460 is an abundant number, since it is smaller than the sum of its proper divisors (145159755178140).

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

68754132287460 is a wasteful number, since it uses less digits than its factorization.

68754132287460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7227738 (or 7227730 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 68754132287460 in words is "sixty-eight trillion, seven hundred fifty-four billion, one hundred thirty-two million, two hundred eighty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 17659 35318 52977 70636 88295 105954 158931 176590 211908 264885 317862 353180 476793 529770 635724 794655 953586 1059540 1589310 1907172 2383965 3178620 4767930 7210061 9535860 14420122 21630183 28840244 36050305 43260366 64890549 72100610 86520732 108150915 129781098 144201220 194671647 216301830 259562196 324452745 389343294 432603660 648905490 778686588 973358235 1297810980 1946716470 3893432940 127322467199 254644934398 381967401597 509289868796 636612335995 763934803194 1145902204791 1273224671990 1527869606388 1909837007985 2291804409582 2546449343980 3437706614373 3819674015970 4583608819164 5729511023955 6875413228746 7639348031940 11459022047910 13750826457492 17188533071865 22918044095820 34377066143730 68754132287460