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66066000032 = 2517238363617
BaseRepresentation
bin111101100001110101…
…110010100010100000
320022112020211112110002
4331201311302202200
52040300344000112
650203355355132
74526114506664
oct754165624240
9208466745402
1066066000032
112602259772a
1210979452aa8
1362cb3c3c16
1432aa3628a4
151aba0761c2
hexf61d728a0

66066000032 has 96 divisors (see below), whose sum is σ = 145439908992. Its totient is φ = 29379395584.

The previous prime is 66066000031. The next prime is 66066000037. The reversal of 66066000032 is 23000066066.

It is a junction number, because it is equal to n+sod(n) for n = 66065999959 and 66066000004.

It is not an unprimeable number, because it can be changed into a prime (66066000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006688 + ... + 1070304.

It is an arithmetic number, because the mean of its divisors is an integer number (1514999052).

Almost surely, 266066000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66066000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72719954496).

66066000032 is an abundant number, since it is smaller than the sum of its proper divisors (79373908960).

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

66066000032 is a wasteful number, since it uses less digits than its factorization.

66066000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63750 (or 63742 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 66066000032 its reverse (23000066066), we get a palindrome (89066066098).

The spelling of 66066000032 in words is "sixty-six billion, sixty-six million, thirty-two", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 4 8 16 17 23 32 34 46 68 83 92 136 166 184 272 332 368 391 544 664 736 782 1328 1411 1564 1909 2656 2822 3128 3818 5644 6256 7636 11288 12512 15272 22576 30544 32453 45152 61088 63617 64906 127234 129812 254468 259624 508936 519248 1017872 1038496 1081489 1463191 2035744 2162978 2926382 4325956 5280211 5852764 8651912 10560422 11705528 17303824 21120844 23411056 24874247 34607648 42241688 46822112 49748494 84483376 89763587 99496988 121444853 168966752 179527174 198993976 242889706 359054348 397987952 485779412 718108696 795975904 971558824 1436217392 1943117648 2064562501 2872434784 3886235296 4129125002 8258250004 16516500008 33033000016 66066000032