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66103632 = 2432765579
BaseRepresentation
bin1111110000101…
…0100101010000
311121101102010200
43330022211100
5113410304012
610320455200
71431604650
oct374124520
9147342120
1066103632
113434a701
121a17a500
131090619a
148aca360
155c0b3dc
hex3f0a950

66103632 has 60 divisors (see below), whose sum is σ = 211429920. Its totient is φ = 18886464.

The previous prime is 66103619. The next prime is 66103643. The reversal of 66103632 is 23630166.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 66103596 and 66103605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31782 + ... + 33797.

It is an arithmetic number, because the mean of its divisors is an integer number (3523832).

Almost surely, 266103632 is an apocalyptic number.

It is an amenable number.

66103632 is an abundant number, since it is smaller than the sum of its proper divisors (145326288).

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

66103632 is a wasteful number, since it uses less digits than its factorization.

66103632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65600 (or 65591 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 66103632 is about 8130.4140115987. The cubic root of 66103632 is about 404.3354075059.

Adding to 66103632 its reverse (23630166), we get a palindrome (89733798).

The spelling of 66103632 in words is "sixty-six million, one hundred three thousand, six hundred thirty-two".

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 65579 131158 196737 262316 393474 459053 524632 590211 786948 918106 1049264 1180422 1377159 1573896 1836212 2360844 2754318 3147792 3672424 4131477 4721688 5508636 7344848 8262954 9443376 11017272 16525908 22034544 33051816 66103632