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66416501 = 1712013253
BaseRepresentation
bin1111110101011…
…0111101110101
311121222022022102
43331112331311
5114000312001
610331311445
71434350054
oct375267565
9147868272
1066416501
1134543778
121a2ab585
13109b5708
148b6c39b
155c6de6b
hex3f56f75

66416501 has 8 divisors (see below), whose sum is σ = 70403544. Its totient is φ = 62438400.

The previous prime is 66416447. The next prime is 66416503. The reversal of 66416501 is 10561466.

It can be written as a sum of positive squares in 4 ways, for example, as 16728100 + 49688401 = 4090^2 + 7049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66416501 is a prime.

It is a super-2 number, since 2×664165012 = 8822303210166002, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66416503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18791 + ... + 22043.

It is an arithmetic number, because the mean of its divisors is an integer number (8800443).

Almost surely, 266416501 is an apocalyptic number.

It is an amenable number.

66416501 is a deficient number, since it is larger than the sum of its proper divisors (3987043).

66416501 is a wasteful number, since it uses less digits than its factorization.

66416501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 66416501 is about 8149.6319548799. The cubic root of 66416501 is about 404.9723112707.

Adding to 66416501 its reverse (10561466), we get a palindrome (76977967).

The spelling of 66416501 in words is "sixty-six million, four hundred sixteen thousand, five hundred one".

Divisors: 1 17 1201 3253 20417 55301 3906853 66416501