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66431036 = 22717672083
BaseRepresentation
bin1111110101101…
…0100000111100
311122000001020202
43331122200330
5114001243121
610331503032
71434440330
oct375324074
9148001222
1066431036
1134553691
121a2b7a78
13109bc209
148b737c0
155c7340b
hex3f5a83c

66431036 has 48 divisors (see below), whose sum is σ = 142845696. Its totient is φ = 26383104.

The previous prime is 66431023. The next prime is 66431039. The reversal of 66431036 is 63013466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66431039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30851 + ... + 32933.

It is an arithmetic number, because the mean of its divisors is an integer number (2975952).

Almost surely, 266431036 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 66431036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71422848).

66431036 is an abundant number, since it is smaller than the sum of its proper divisors (76414660).

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

66431036 is a wasteful number, since it uses less digits than its factorization.

66431036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 66431036 is about 8150.5236641580. The cubic root of 66431036 is about 405.0018513353.

The spelling of 66431036 in words is "sixty-six million, four hundred thirty-one thousand, thirty-six".

Divisors: 1 2 4 7 14 17 28 34 67 68 119 134 238 268 469 476 938 1139 1876 2083 2278 4166 4556 7973 8332 14581 15946 29162 31892 35411 58324 70822 139561 141644 247877 279122 495754 558244 976927 991508 1953854 2372537 3907708 4745074 9490148 16607759 33215518 66431036