Search a number
-
+
66396069366 = 23112412718231
BaseRepresentation
bin111101110101100000…
…111001110111110110
320100101020220210110020
4331311200321313312
52041434343204431
650300230110010
74540233164154
oct756540716766
9210336823406
1066396069366
1126181939700
1210a4baab306
1363518bc413
1432dc1223d4
151ad9024696
hexf75839df6

66396069366 has 96 divisors (see below), whose sum is σ = 150091619328. Its totient is φ = 19554480000.

The previous prime is 66396069361. The next prime is 66396069379.

66396069366 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66396069361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8062471 + ... + 8070701.

It is an arithmetic number, because the mean of its divisors is an integer number (1563454368).

Almost surely, 266396069366 is an apocalyptic number.

66396069366 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 66396069366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75045809664).

66396069366 is an abundant number, since it is smaller than the sum of its proper divisors (83695549962).

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

66396069366 is a wasteful number, since it uses less digits than its factorization.

66396069366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 60.

The spelling of 66396069366 in words is "sixty-six billion, three hundred ninety-six million, sixty-nine thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 271 363 451 542 726 813 902 1353 1626 2706 2981 4961 5962 8231 8943 9922 11111 14883 16462 17886 22222 24693 29766 32791 33333 49386 65582 66666 90541 98373 122221 181082 196746 244442 271623 337471 366663 543246 674942 733326 995951 1012413 1344431 1991902 2024826 2230601 2688862 2987853 3712181 4033293 4461202 5975706 6691803 7424362 8066586 11136543 13383606 22273086 24536611 40833991 49073222 73609833 81667982 91454641 122501973 147219666 182909282 245003946 269902721 274363923 539805442 548727846 809708163 1006001051 1619416326 2012002102 3018003153 6036006306 11066011561 22132023122 33198034683 66396069366