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60000066000006 = 23111019901909091
BaseRepresentation
bin11011010010001110110101…
…00111101101010010000110
321212102221122202120122221220
431221013122213231102012
530331020113344000011
6331335352205021210
715431601366062316
oct1551073247552206
9255387582518856
1060000066000006
1118132981070970
1268904b8854806
132762c9c449452
1410b60393d7446
156e0b1578d506
hex3691da9ed486

60000066000006 has 64 divisors (see below), whose sum is σ = 132218864116992. Its totient is φ = 17999982000000.

The previous prime is 60000065999989. The next prime is 60000066000073.

60000066000006 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 60000066000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65545521 + ... + 66454611.

It is an arithmetic number, because the mean of its divisors is an integer number (2065919751828).

Almost surely, 260000066000006 is an apocalyptic number.

60000066000006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 60000066000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66109432058496).

60000066000006 is an abundant number, since it is smaller than the sum of its proper divisors (72218798116986).

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

60000066000006 is a wasteful number, since it uses less digits than its factorization.

60000066000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919109.

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 60000066000006 in words is "sixty trillion, sixty-six million, six", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 9901 19802 29703 59406 108911 217822 326733 653466 909091 1000001 1818182 2000002 2727273 3000003 5454546 6000006 10000001 11000011 20000002 22000022 30000003 33000033 60000006 66000066 91818191 183636382 275454573 550909146 1010000101 2020000202 3030000303 6060000606 9000909991 18001819982 27002729973 54005459946 99010009901 198020019802 297030029703 594060059406 909091909091 1818183818182 2727275727273 5454551454546 10000011000001 20000022000002 30000033000003 60000066000006