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83051423313606 = 232112612572432351
BaseRepresentation
bin10010111000100011101010…
…100101011010111011000110
3101220001122020111011021220200
4102320203222211122323012
541341203303332013411
6452345144104111330
723331160456252506
oct2270435245327306
9356048214137820
1083051423313606
112450aa02350500
129393b09765546
13374593c284027
1416719d323ba06
1599055896ee56
hex4b88ea95aec6

83051423313606 has 144 divisors (see below), whose sum is σ = 201815290744704. Its totient is φ = 24658191360000.

The previous prime is 83051423313569. The next prime is 83051423313689. The reversal of 83051423313606 is 60631332415038.

It is a happy number.

83051423313606 is a `hidden beast` number, since 8 + 3 + 0 + 5 + 1 + 4 + 2 + 3 + 31 + 3 + 606 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32928331 + ... + 35360681.

It is an arithmetic number, because the mean of its divisors is an integer number (1401495074616).

Almost surely, 283051423313606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83051423313606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100907645372352).

83051423313606 is an abundant number, since it is smaller than the sum of its proper divisors (118763867431098).

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

83051423313606 is a wasteful number, since it uses less digits than its factorization.

83051423313606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432699 (or 2432685 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 83051423313606 in words is "eighty-three trillion, fifty-one billion, four hundred twenty-three million, three hundred thirteen thousand, six hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 121 122 183 198 242 257 363 366 514 549 671 726 771 1089 1098 1342 1542 2013 2178 2313 2827 4026 4626 5654 6039 7381 8481 12078 14762 15677 16962 22143 25443 31097 31354 44286 47031 50886 62194 66429 93291 94062 132858 141093 172447 186582 279873 282186 344894 517341 559746 1034682 1552023 1896917 2432351 3104046 3793834 4864702 5690751 7297053 11381502 14594106 17072253 21891159 26755861 34144506 43782318 53511722 80267583 148373411 160535166 240802749 294314471 296746822 445120233 481605498 588628942 625114207 882943413 890240466 1250228414 1335360699 1632107521 1765886826 1875342621 2648830239 2670721398 3264215042 3750685242 4896322563 5297660478 5626027863 6876256277 9792645126 11252055726 13752512554 14688967689 17953182731 20628768831 29377935378 35906365462 38131966627 41257537662 53859548193 61886306493 75638819047 76263933254 107719096386 114395899881 123772612986 151277638094 161578644579 226916457141 228791799762 323157289158 343187699643 419451632897 453832914282 680749371423 686375399286 838903265794 1258354898691 1361498742846 2516709797382 3775064696073 4613967961867 7550129392146 9227935923734 13841903885601 27683807771202 41525711656803 83051423313606