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66681468 = 2234729401
BaseRepresentation
bin1111111001011…
…1101001111100
311122110202210000
43332113221330
5114032301333
610341114300
71436532420
oct376275174
9148422700
1066681468
1134704857
121a3b8990
1310a791b9
148bdab80
155cc2713
hex3f97a7c

66681468 has 60 divisors (see below), whose sum is σ = 199227952. Its totient is φ = 19051200.

The previous prime is 66681467. The next prime is 66681487. The reversal of 66681468 is 86418666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66681467) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12433 + ... + 16968.

Almost surely, 266681468 is an apocalyptic number.

It is an amenable number.

66681468 is an abundant number, since it is smaller than the sum of its proper divisors (132546484).

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

66681468 is a wasteful number, since it uses less digits than its factorization.

66681468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29424 (or 29413 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 66681468 is about 8165.8721518280. The cubic root of 66681468 is about 405.5101390507.

The spelling of 66681468 in words is "sixty-six million, six hundred eighty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 29401 58802 88203 117604 176406 205807 264609 352812 411614 529218 617421 793827 823228 1058436 1234842 1587654 1852263 2381481 2469684 3175308 3704526 4762962 5556789 7409052 9525924 11113578 16670367 22227156 33340734 66681468