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66989184 = 273434057
BaseRepresentation
bin1111111110001…
…0110010000000
311200001101212220
43333202302000
5114122123214
610351451040
71442253513
oct377426200
9150041786
1066989184
11348a4a69
121a526a80
1310b56292
148c7ad7a
155d339a9
hex3fe2c80

66989184 has 64 divisors (see below), whose sum is σ = 182123040. Its totient is φ = 21805056.

The previous prime is 66989183. The next prime is 66989189. The reversal of 66989184 is 48198966.

It is a happy number.

66989184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66989183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14484 + ... + 18540.

Almost surely, 266989184 is an apocalyptic number.

66989184 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66989184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91061520).

66989184 is an abundant number, since it is smaller than the sum of its proper divisors (115133856).

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

66989184 is a wasteful number, since it uses less digits than its factorization.

66989184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4105 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 66989184 is about 8184.6920528509. The cubic root of 66989184 is about 406.1329532941.

The spelling of 66989184 in words is "sixty-six million, nine hundred eighty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4057 4128 5504 8114 8256 12171 16228 16512 24342 32456 48684 64912 97368 129824 174451 194736 259648 348902 389472 519296 523353 697804 778944 1046706 1395608 1557888 2093412 2791216 4186824 5582432 8373648 11164864 16747296 22329728 33494592 66989184