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10241333025066 = 2341113521848531
BaseRepresentation
bin1001010100000111111100…
…0001000101100100101010
31100021001200002220011110000
42111001333001011210222
52320243222223300231
633440445313203430
72104624531250463
oct225017701054452
940231602804400
1010241333025066
113299363557770
121194a09860576
135939a4758a80
1427597c857d6a
1512b601e146e6
hex9507f04592a

10241333025066 has 160 divisors (see below), whose sum is σ = 27011869004736. Its totient is φ = 2859206688000.

The previous prime is 10241333025059. The next prime is 10241333025073. The reversal of 10241333025066 is 66052033314201.

10241333025066 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 13 + 330 + 250 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (10241333025059) and next prime (10241333025073).

It is a self number, because there is not a number n which added to its sum of digits gives 10241333025066.

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 79 ways as a sum of consecutive naturals, for example, 11645221 + ... + 12493751.

Almost surely, 210241333025066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241333025066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505934502368).

10241333025066 is an abundant number, since it is smaller than the sum of its proper divisors (16770535979670).

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

10241333025066 is a wasteful number, since it uses less digits than its factorization.

10241333025066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849090 (or 849081 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 10241333025066 its reverse (66052033314201), we get a palindrome (76293366339267).

The spelling of 10241333025066 in words is "ten trillion, two hundred forty-one billion, three hundred thirty-three million, twenty-five thousand, sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 521 594 702 858 891 1042 1053 1287 1563 1782 2106 2574 3126 3861 4689 5731 6773 7722 9378 11462 11583 13546 14067 17193 20319 23166 28134 34386 40638 42201 51579 60957 74503 84402 103158 121914 149006 154737 182871 223509 309474 365742 447018 464211 548613 670527 848531 928422 1097226 1341054 1697062 2011581 2545593 4023162 5091186 6034743 7636779 9333841 11030903 12069486 15273558 18667682 22061806 22910337 28001523 33092709 45820674 56003046 66185418 68731011 84004569 99278127 121339933 137462022 168009138 198556254 242679866 252013707 297834381 364019799 442084651 504027414 595668762 728039598 756041121 884169302 893503143 1092059397 1326253953 1512082242 1787006286 2184118794 2652507906 3276178191 3978761859 4862931161 5747100463 6552356382 7957523718 9725862322 9828534573 11494200926 11936285577 14588793483 17241301389 19657069146 23872571154 29177586966 34482602778 35808856731 43766380449 51723904167 63218105093 71617713462 87532760898 103447808334 126436210186 131299141347 155171712501 189654315279 262598282694 310343425002 379308630558 393897424041 465515137503 568962945837 787794848082 931030275006 1137925891674 1706888837511 3413777675022 5120666512533 10241333025066