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66516131 = 1119318259
BaseRepresentation
bin1111110110111…
…1010010100011
311122011100222102
43331233102203
5114012004011
610333401015
71435243403
oct375572243
9148140872
1066516131
1134601610
121a33916b
1310a1bb76
148b96803
155c8d73b
hex3f6f4a3

66516131 has 8 divisors (see below), whose sum is σ = 76382400. Its totient is φ = 57286440.

The previous prime is 66516097. The next prime is 66516179. The reversal of 66516131 is 13161566.

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-66516131 is a prime.

It is a super-2 number, since 2×665161312 = 8848791366418322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66516094 and 66516103.

It is not an unprimeable number, because it can be changed into a prime (66516031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158921 + ... + 159338.

It is an arithmetic number, because the mean of its divisors is an integer number (9547800).

Almost surely, 266516131 is an apocalyptic number.

66516131 is a deficient number, since it is larger than the sum of its proper divisors (9866269).

66516131 is a wasteful number, since it uses less digits than its factorization.

66516131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318289.

The product of its digits is 3240, while the sum is 29.

The square root of 66516131 is about 8155.7422102467. The cubic root of 66516131 is about 405.1747069244.

Adding to 66516131 its reverse (13161566), we get a palindrome (79677697).

The spelling of 66516131 in words is "sixty-six million, five hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 11 19 209 318259 3500849 6046921 66516131