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66455466 = 23721120549
BaseRepresentation
bin1111110110000…
…0011110101010
311122001021202120
43331200132222
5114003033331
610332212110
71434601500
oct375403652
9148037676
1066455466
113456aa80
121a30a036
13109ca37c
148b7c670
155c7a796
hex3f607aa

66455466 has 48 divisors (see below), whose sum is σ = 168674400. Its totient is φ = 17260320.

The previous prime is 66455449. The next prime is 66455471.

It is a happy number.

66455466 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×664554662 = 8832657922554312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7041 + ... + 13508.

It is an arithmetic number, because the mean of its divisors is an integer number (3514050).

Almost surely, 266455466 is an apocalyptic number.

66455466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66455466 is an abundant number, since it is smaller than the sum of its proper divisors (102218934).

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

66455466 is a wasteful number, since it uses less digits than its factorization.

66455466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20579 (or 20572 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 66455466 is about 8152.0222031101. The cubic root of 66455466 is about 405.0514917003.

The spelling of 66455466 in words is "sixty-six million, four hundred fifty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 20549 41098 61647 123294 143843 226039 287686 431529 452078 678117 863058 1006901 1356234 1582273 2013802 3020703 3164546 4746819 6041406 9493638 11075911 22151822 33227733 66455466