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66148497 = 3267163673
BaseRepresentation
bin1111110001010…
…1100010010001
311121110200200100
43330111202101
5113413222442
610321443013
71432152522
oct374254221
9147420610
1066148497
1134380388
121a1a0469
131092072c
148adc849
155c1984c
hex3f15891

66148497 has 24 divisors (see below), whose sum is σ = 97713824. Its totient is φ = 43110144.

The previous prime is 66148493. The next prime is 66148531. The reversal of 66148497 is 79484166.

66148497 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66148497 - 22 = 66148493 is a prime.

It is a super-3 number, since 3×661484973 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66148493) 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 23 ways as a sum of consecutive naturals, for example, 97953 + ... + 98625.

Almost surely, 266148497 is an apocalyptic number.

66148497 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

66148497 is a deficient number, since it is larger than the sum of its proper divisors (31565327).

66148497 is a wasteful number, since it uses less digits than its factorization.

66148497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 906 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 66148497 is about 8133.1726281937. The cubic root of 66148497 is about 404.4268619138.

Adding to 66148497 its product of digits (290304), we get a square (66438801 = 81512).

The spelling of 66148497 in words is "sixty-six million, one hundred forty-eight thousand, four hundred ninety-seven".

Divisors: 1 3 9 67 163 201 489 603 673 1467 2019 6057 10921 32763 45091 98289 109699 135273 329097 405819 987291 7349833 22049499 66148497