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66000168 = 233213107659
BaseRepresentation
bin1111101111000…
…1010100101000
311121012011012200
43323301110220
5113344001133
610314340200
71430664213
oct373612450
9147164180
1066000168
11342899a3
121a12a660
131089b070
148aa077a
155bda913
hex3ef1528

66000168 has 96 divisors (see below), whose sum is σ = 194594400. Its totient is φ = 20087424.

The previous prime is 66000157. The next prime is 66000169. The reversal of 66000168 is 86100066.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (66000169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99823 + ... + 100481.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 266000168 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 66000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97297200).

66000168 is an abundant number, since it is smaller than the sum of its proper divisors (128594232).

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

66000168 is a wasteful number, since it uses less digits than its factorization.

66000168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66000168 is about 8124.0487443146. The cubic root of 66000168 is about 404.1243449550.

The spelling of 66000168 in words is "sixty-six million, one hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 107 117 156 214 234 312 321 428 468 642 659 856 936 963 1284 1318 1391 1926 1977 2568 2636 2782 3852 3954 4173 5272 5564 5931 7704 7908 8346 8567 11128 11862 12519 15816 16692 17134 23724 25038 25701 33384 34268 47448 50076 51402 68536 70513 77103 100152 102804 141026 154206 205608 211539 282052 308412 423078 564104 616824 634617 846156 916669 1269234 1692312 1833338 2538468 2750007 3666676 5076936 5500014 7333352 8250021 11000028 16500042 22000056 33000084 66000168