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66066036 = 22317930757
BaseRepresentation
bin1111110000000…
…1011001110100
311121022111120020
43330001121310
5113403103121
610320005140
71431360231
oct374013164
9147274506
1066066036
1134324433
121a1607b0
13108c203a
148aba788
155c001c6
hex3f01674

66066036 has 24 divisors (see below), whose sum is σ = 155020320. Its totient is φ = 21898272.

The previous prime is 66065977. The next prime is 66066043. The reversal of 66066036 is 63066066.

66066036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×660660362 = 8729442225506592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66065988 and 66066006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13231 + ... + 17526.

It is an arithmetic number, because the mean of its divisors is an integer number (6459180).

Almost surely, 266066036 is an apocalyptic number.

It is an amenable number.

66066036 is an abundant number, since it is smaller than the sum of its proper divisors (88954284).

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

66066036 is a wasteful number, since it uses less digits than its factorization.

66066036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30943 (or 30941 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 66066036 is about 8128.1016233805. The cubic root of 66066036 is about 404.2587386133.

The spelling of 66066036 in words is "sixty-six million, sixty-six thousand, thirty-six", and is thus an eban number.

Divisors: 1 2 3 4 6 12 179 358 537 716 1074 2148 30757 61514 92271 123028 184542 369084 5505503 11011006 16516509 22022012 33033018 66066036