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66189648 = 2437196993
BaseRepresentation
bin1111110001111…
…1100101010000
311121112210010110
43330133211100
5113421032043
610322401320
71432413510
oct374374520
9147483113
1066189648
11343a9298
121a200240
1310936395
148b0d840
155c26b33
hex3f1f950

66189648 has 40 divisors (see below), whose sum is σ = 195418048. Its totient is φ = 18911232.

The previous prime is 66189623. The next prime is 66189649. The reversal of 66189648 is 84698166.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 66189597 and 66189606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66189649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98161 + ... + 98832.

Almost surely, 266189648 is an apocalyptic number.

It is an amenable number.

66189648 is an abundant number, since it is smaller than the sum of its proper divisors (129228400).

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

66189648 is a wasteful number, since it uses less digits than its factorization.

66189648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197011 (or 197005 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 66189648 is about 8135.7020594415. The cubic root of 66189648 is about 404.5107092201.

It can be divided in two parts, 661 and 89648, that added together give a palindrome (90309).

The spelling of 66189648 in words is "sixty-six million, one hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 196993 393986 590979 787972 1181958 1378951 1575944 2363916 2757902 3151888 4136853 4727832 5515804 8273706 9455664 11031608 16547412 22063216 33094824 66189648