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66305988 = 22327263119
BaseRepresentation
bin1111110011101…
…1111111000100
311121202200201100
43330323333010
5113433242423
610325100100
71433406630
oct374737704
9147680640
1066305988
1134478741
121a257630
1310977318
148b3ddc0
155c4b343
hex3f3bfc4

66305988 has 36 divisors (see below), whose sum is σ = 191551360. Its totient is φ = 18944496.

The previous prime is 66305983. The next prime is 66306007. The reversal of 66305988 is 88950366.

66305988 is a `hidden beast` number, since 6 + 630 + 5 + 9 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×663059882 = 8792968089312288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66305983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131308 + ... + 131811.

Almost surely, 266305988 is an apocalyptic number.

It is an amenable number.

66305988 is an abundant number, since it is smaller than the sum of its proper divisors (125245372).

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

66305988 is a wasteful number, since it uses less digits than its factorization.

66305988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263136 (or 263131 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 66305988 is about 8142.8488872139. The cubic root of 66305988 is about 404.7475701779.

The spelling of 66305988 in words is "sixty-six million, three hundred five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 263119 526238 789357 1052476 1578714 1841833 2368071 3157428 3683666 4736142 5525499 7367332 9472284 11050998 16576497 22101996 33152994 66305988