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68084083782 = 232111345135861
BaseRepresentation
bin111111011010001000…
…001010110001000110
320111201220012210220200
4333122020022301012
52103414011140112
651135530111330
74630121110041
oct773210126106
9214656183820
1068084083782
1126968765940
121124127b546
136560530410
14341c3a7c58
151b8730bcdc
hexfda20ac46

68084083782 has 96 divisors (see below), whose sum is σ = 173372917536. Its totient is φ = 19037030400.

The previous prime is 68084083733. The next prime is 68084083799. The reversal of 68084083782 is 28738048086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11613532 + ... + 11619392.

It is an arithmetic number, because the mean of its divisors is an integer number (1805967891).

Almost surely, 268084083782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68084083782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86686458768).

68084083782 is an abundant number, since it is smaller than the sum of its proper divisors (105288833754).

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

68084083782 is a wasteful number, since it uses less digits than its factorization.

68084083782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 68084083782 in words is "sixty-eight billion, eighty-four million, eighty-three thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 4513 5861 9026 11722 13539 17583 27078 35166 40617 49643 52749 58669 64471 76193 81234 99286 105498 117338 128942 148929 152386 176007 193413 228579 297858 352014 386826 446787 457158 528021 580239 645359 685737 838123 893574 1056042 1160478 1290718 1371474 1676246 1936077 2514369 3872154 5028738 5808231 7543107 11616462 15086214 26450693 52901386 79352079 158704158 238056237 290957623 343859009 476112474 581915246 687718018 872872869 1031577027 1745745738 2063154054 2618618607 3094731081 3782449099 5237237214 6189462162 7564898198 11347347297 22694694594 34042041891 68084083782