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66473241228 = 223229177735831
BaseRepresentation
bin111101111010000111…
…010010101010001100
320100120122010112100100
4331322013102222030
52042114122204403
650312024131100
74542161141052
oct757207225214
9210518115310
1066473241228
1126211458aa9
1210a71906a90
13636489c444
1433084901d2
151ae0bba2a3
hexf7a1d2a8c

66473241228 has 72 divisors (see below), whose sum is σ = 173926378080. Its totient is φ = 21381050880.

The previous prime is 66473241209. The next prime is 66473241251. The reversal of 66473241228 is 82214237466.

It is a happy number.

66473241228 is a `hidden beast` number, since 66 + 47 + 324 + 1 + 228 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837273 + ... + 1873103.

It is an arithmetic number, because the mean of its divisors is an integer number (2415644140).

Almost surely, 266473241228 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 66473241228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86963189040).

66473241228 is an abundant number, since it is smaller than the sum of its proper divisors (107453136852).

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

66473241228 is a wasteful number, since it uses less digits than its factorization.

66473241228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37647 (or 37642 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 66473241228 in words is "sixty-six billion, four hundred seventy-three million, two hundred forty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1777 3554 5331 7108 10662 15993 21324 31986 35831 51533 63972 71662 103066 107493 143324 154599 206132 214986 309198 322479 429972 463797 618396 644958 927594 1039099 1289916 1855188 2078198 3117297 4156396 6234594 9351891 12469188 18703782 37407564 63671687 127343374 191015061 254686748 382030122 573045183 764060244 1146090366 1846478923 2292180732 3692957846 5539436769 7385915692 11078873538 16618310307 22157747076 33236620614 66473241228