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66305016 = 23327911657
BaseRepresentation
bin1111110011101…
…1101111111000
311121202122101100
43330323233320
5113433230031
610325051400
71433404041
oct374735770
9147678340
1066305016
1134477a38
121a256b60
1310976a4b
148b3d8c8
155c4ade6
hex3f3bbf8

66305016 has 48 divisors (see below), whose sum is σ = 181864800. Its totient is φ = 21820032.

The previous prime is 66304993. The next prime is 66305017. The reversal of 66305016 is 61050366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66305017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 141 + ... + 11516.

It is an arithmetic number, because the mean of its divisors is an integer number (3788850).

Almost surely, 266305016 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 66305016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90932400).

66305016 is an abundant number, since it is smaller than the sum of its proper divisors (115559784).

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

66305016 is a wasteful number, since it uses less digits than its factorization.

66305016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11748 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 66305016 is about 8142.7892027241. The cubic root of 66305016 is about 404.7455923949.

The spelling of 66305016 in words is "sixty-six million, three hundred five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 11657 23314 34971 46628 69942 93256 104913 139884 209826 279768 419652 839304 920903 1841806 2762709 3683612 5525418 7367224 8288127 11050836 16576254 22101672 33152508 66305016