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66329536 = 2672131627
BaseRepresentation
bin1111110100000…
…1101111000000
311121210220000111
43331001233000
5113440021121
610325401104
71433535400
oct375015700
9147726014
1066329536
11344943a9
121a269194
1310984c60
148b48800
155c532e1
hex3f41bc0

66329536 has 84 divisors (see below), whose sum is σ = 164991288. Its totient is φ = 26224128.

The previous prime is 66329503. The next prime is 66329537. The reversal of 66329536 is 63592366.

It is a happy number.

66329536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66329537) 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 11 ways as a sum of consecutive naturals, for example, 39955 + ... + 41581.

It is an arithmetic number, because the mean of its divisors is an integer number (1964182).

Almost surely, 266329536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66329536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82495644).

66329536 is an abundant number, since it is smaller than the sum of its proper divisors (98661752).

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

66329536 is a wasteful number, since it uses less digits than its factorization.

66329536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1649 counting only the distinct ones).

The product of its digits is 174960, while the sum is 40.

The square root of 66329536 is about 8144.2946901497. The cubic root of 66329536 is about 404.7954787103.

The spelling of 66329536 in words is "sixty-six million, three hundred twenty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 1627 2548 2912 3136 3254 5096 5824 6508 10192 11389 13016 20384 21151 22778 26032 40768 42302 45556 52064 79723 84604 91112 104128 148057 159446 169208 182224 296114 318892 338416 364448 592228 637784 676832 728896 1036399 1184456 1275568 1353664 2072798 2368912 2551136 4145596 4737824 5102272 8291192 9475648 16582384 33164768 66329536