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66066054000 = 24353103106903
BaseRepresentation
bin111101100001110101…
…111111101101110000
320022112020221021110220
4331201311333231300
52040300402212000
650203400453040
74526115123222
oct754165775560
9208466837426
1066066054000
1126022624231
121097947a180
1362cb41265b
1432aa378412
151aba0871a0
hexf61d7fb70

66066054000 has 160 divisors (see below), whose sum is σ = 215066901504. Its totient is φ = 17446406400.

The previous prime is 66066053953. The next prime is 66066054001. The reversal of 66066054000 is 45066066.

It is a super-2 number, since 2×660660540002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66066054001) 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 31 ways as a sum of consecutive naturals, for example, 564549 + ... + 671451.

Almost surely, 266066054000 is an apocalyptic number.

66066054000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66066054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533450752).

66066054000 is an abundant number, since it is smaller than the sum of its proper divisors (149000847504).

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

66066054000 is a wasteful number, since it uses less digits than its factorization.

66066054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107032 (or 107016 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

It can be divided in two parts, 6606 and 6054000, that added together give a palindrome (6060606).

The spelling of 66066054000 in words is "sixty-six billion, sixty-six million, fifty-four thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 103 120 125 150 200 206 240 250 300 309 375 400 412 500 515 600 618 750 824 1000 1030 1200 1236 1500 1545 1648 2000 2060 2472 2575 3000 3090 4120 4944 5150 6000 6180 7725 8240 10300 12360 12875 15450 20600 24720 25750 30900 38625 41200 51500 61800 77250 103000 106903 123600 154500 206000 213806 309000 320709 427612 534515 618000 641418 855224 1069030 1282836 1603545 1710448 2138060 2565672 2672575 3207090 4276120 5131344 5345150 6414180 8017725 8552240 10690300 11011009 12828360 13362875 16035450 21380600 22022018 25656720 26725750 32070900 33033027 40088625 42761200 44044036 53451500 55055045 64141800 66066054 80177250 88088072 106903000 110110090 128283600 132132108 160354500 165165135 176176144 213806000 220220180 264264216 275275225 320709000 330330270 440440360 528528432 550550450 641418000 660660540 825825675 880880720 1101100900 1321321080 1376376125 1651651350 2202201800 2642642160 2752752250 3303302700 4129128375 4404403600 5505504500 6606605400 8258256750 11011009000 13213210800 16516513500 22022018000 33033027000 66066054000