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660066660066 = 2311731011379901
BaseRepresentation
bin10011001101011110000…
…10011110111011100010
32100002202011212112122210
421212233002132323202
541303304031110231
61223121435142550
765455032015642
oct11465702367342
92302664775583
10660066660066
11234a29470320
12a7b12ba4a56
134a323156c08
1423d3992a522
151228338ba46
hex99af09eee2

660066660066 has 128 divisors (see below), whose sum is σ = 1485239162112. Its totient is φ = 193881600000.

The previous prime is 660066660061. The next prime is 660066660067.

660066660066 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 660066659997 and 660066660024.

It is not an unprimeable number, because it can be changed into a prime (660066660061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66661716 + ... + 66671616.

It is an arithmetic number, because the mean of its divisors is an integer number (11603430954).

Almost surely, 2660066660066 is an apocalyptic number.

660066660066 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 660066660066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742619581056).

660066660066 is an abundant number, since it is smaller than the sum of its proper divisors (825172502046).

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

660066660066 is a wasteful number, since it uses less digits than its factorization.

660066660066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10228.

The product of its (nonzero) digits is 1679616, while the sum is 48.

It can be divided in two parts, 6600 and 66660066, that added together give a palindrome (66666666).

The spelling of 660066660066 in words is "six hundred sixty billion, sixty-six million, six hundred sixty thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 66 73 101 137 146 202 219 274 303 411 438 606 803 822 1111 1507 1606 2222 2409 3014 3333 4521 4818 6666 7373 9042 9901 10001 13837 14746 19802 20002 22119 27674 29703 30003 41511 44238 59406 60006 81103 83022 108911 110011 152207 162206 217822 220022 243309 304414 326733 330033 456621 486618 653466 660066 722773 913242 1000001 1010101 1356437 1445546 2000002 2020202 2168319 2712874 3000003 3030303 4069311 4336638 6000006 6060606 7950503 8138622 11000011 11111111 14920807 15901006 22000022 22222222 23851509 29841614 33000033 33333333 44762421 47703018 66000066 66666666 73000073 89524842 99019901 137000137 146000146 198039802 219000219 274000274 297059703 411000411 438000438 594119406 803000803 822000822 1089218911 1507001507 1606001606 2178437822 2409002409 3014003014 3267656733 4521004521 4818004818 6535313466 9042009042 10001010001 20002020002 30003030003 60006060006 110011110011 220022220022 330033330033 660066660066