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66121650 = 2335276997
BaseRepresentation
bin1111110000111…
…0111110110010
311121102022212000
43330032332302
5113411343100
610321114430
71432011330
oct374167662
9147368760
1066121650
11343621a1
121a188a16
131091144a
148ad2b50
155c11900
hex3f0efb2

66121650 has 96 divisors (see below), whose sum is σ = 208260480. Its totient is φ = 15111360.

The previous prime is 66121637. The next prime is 66121651. The reversal of 66121650 is 5612166.

It is a happy number.

66121650 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 1 + 650 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66121651) 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 47 ways as a sum of consecutive naturals, for example, 5952 + ... + 12948.

It is an arithmetic number, because the mean of its divisors is an integer number (2169380).

Almost surely, 266121650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66121650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104130240).

66121650 is an abundant number, since it is smaller than the sum of its proper divisors (142138830).

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

66121650 is a wasteful number, since it uses less digits than its factorization.

66121650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 66121650 is about 8131.5219977566. The cubic root of 66121650 is about 404.3721410072.

The spelling of 66121650 in words is "sixty-six million, one hundred twenty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 6997 9450 13994 20991 34985 41982 48979 62973 69970 97958 104955 125946 146937 174925 188919 209910 244895 293874 314865 349850 377838 440811 489790 524775 629730 734685 881622 944595 1049550 1224475 1322433 1469370 1574325 1889190 2204055 2448950 2644866 3148650 3673425 4408110 4722975 6612165 7346850 9445950 11020275 13224330 22040550 33060825 66121650