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66685632 = 2631326717
BaseRepresentation
bin1111111001100…
…0101011000000
311122110222111020
43332120223000
5114032420012
610341145440
71436550516
oct376305300
9148428436
1066685632
11347079a2
121a3bb280
1310a7b070
148bdc4b6
155cc3a8c
hex3f98ac0

66685632 has 56 divisors (see below), whose sum is σ = 190018416. Its totient is φ = 20517888.

The previous prime is 66685631. The next prime is 66685637. The reversal of 66685632 is 23658666.

66685632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66685631) 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, 10863 + ... + 15854.

It is an arithmetic number, because the mean of its divisors is an integer number (3393186).

Almost surely, 266685632 is an apocalyptic number.

It is an amenable number.

66685632 is an abundant number, since it is smaller than the sum of its proper divisors (123332784).

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

66685632 is a wasteful number, since it uses less digits than its factorization.

66685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26745 (or 26735 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 66685632 is about 8166.1271114280. The cubic root of 66685632 is about 405.5185797221.

The spelling of 66685632 in words is "sixty-six million, six hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 26717 53434 80151 106868 160302 213736 320604 347321 427472 641208 694642 854944 1041963 1282416 1389284 1709888 2083926 2564832 2778568 4167852 5129664 5557136 8335704 11114272 16671408 22228544 33342816 66685632