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66145041 = 3231793001
BaseRepresentation
bin1111110001010…
…0101100010001
311121110111221100
43330110230101
5113413120131
610321415013
71432136454
oct374245421
9147414840
1066145041
1134378826
121a19a469
131091bca1
148adb49b
155c187e6
hex3f14b11

66145041 has 24 divisors (see below), whose sum is σ = 99906560. Its totient is φ = 42120000.

The previous prime is 66145039. The next prime is 66145049. The reversal of 66145041 is 14054166.

66145041 is a `hidden beast` number, since 6 + 614 + 5 + 0 + 41 = 666.

66145041 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 66145041 - 21 = 66145039 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 66144996 and 66145014.

It is not an unprimeable number, because it can be changed into a prime (66145049) 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, 20541 + ... + 23541.

Almost surely, 266145041 is an apocalyptic number.

It is an amenable number.

66145041 is a deficient number, since it is larger than the sum of its proper divisors (33761519).

66145041 is a wasteful number, since it uses less digits than its factorization.

66145041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 66145041 is about 8132.9601622042. The cubic root of 66145041 is about 404.4198185511.

The spelling of 66145041 in words is "sixty-six million, one hundred forty-five thousand, forty-one".

Divisors: 1 3 9 31 79 93 237 279 711 2449 3001 7347 9003 22041 27009 93031 237079 279093 711237 837279 2133711 7349449 22048347 66145041