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66801168 = 2432766271
BaseRepresentation
bin1111111011010…
…0111000010000
311122200211222100
43332310320100
5114100114133
610343440400
71440541410
oct376647020
9148624870
1066801168
1134786785
121a456100
1310abb825
148c2c640
155ce7e13
hex3fb4e10

66801168 has 60 divisors (see below), whose sum is σ = 213660928. Its totient is φ = 19085760.

The previous prime is 66801167. The next prime is 66801173. The reversal of 66801168 is 86110866.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66801167) 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, 32128 + ... + 34143.

Almost surely, 266801168 is an apocalyptic number.

It is an amenable number.

66801168 is an abundant number, since it is smaller than the sum of its proper divisors (146859760).

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

66801168 is a wasteful number, since it uses less digits than its factorization.

66801168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66292 (or 66283 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 66801168 is about 8173.1981500512. The cubic root of 66801168 is about 405.7526379516.

The spelling of 66801168 in words is "sixty-six million, eight hundred one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 66271 132542 198813 265084 397626 463897 530168 596439 795252 927794 1060336 1192878 1391691 1590504 1855588 2385756 2783382 3181008 3711176 4175073 4771512 5566764 7422352 8350146 9543024 11133528 16700292 22267056 33400584 66801168