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66463101 = 32312111129
BaseRepresentation
bin1111110110001…
…0010101111101
311122001200020100
43331202111331
5114003304401
610332311313
71434632655
oct375422575
9148050210
1066463101
1134575791
121a312539
1310a009a3
148b81365
155c7cb86
hex3f6257d

66463101 has 24 divisors (see below), whose sum is σ = 99656960. Its totient is φ = 42638400.

The previous prime is 66463073. The next prime is 66463127. The reversal of 66463101 is 10136466.

66463101 is a `hidden beast` number, since 6 + 646 + 3 + 10 + 1 = 666.

It is not a de Polignac number, because 66463101 - 225 = 32908669 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66463141) 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 23 ways as a sum of consecutive naturals, for example, 58305 + ... + 59433.

Almost surely, 266463101 is an apocalyptic number.

It is an amenable number.

66463101 is a deficient number, since it is larger than the sum of its proper divisors (33193859).

66463101 is a wasteful number, since it uses less digits than its factorization.

66463101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66463101 is about 8152.4904783753. The cubic root of 66463101 is about 405.0670030891.

Adding to 66463101 its reverse (10136466), we get a palindrome (76599567).

It can be divided in two parts, 66463 and 101, that added together give a square (66564 = 2582).

The spelling of 66463101 in words is "sixty-six million, four hundred sixty-three thousand, one hundred one".

Divisors: 1 3 9 31 93 211 279 633 1129 1899 3387 6541 10161 19623 34999 58869 104997 238219 314991 714657 2143971 7384789 22154367 66463101