Search a number
-
+
66346605 = 32513234931
BaseRepresentation
bin1111110100010…
…1111001101101
311121211202102200
43331011321231
5113441042410
610330012113
71433636223
oct375057155
9147752380
1066346605
11344a6206
121a277039
131098c960
148b50b13
155c583c0
hex3f45e6d

66346605 has 48 divisors (see below), whose sum is σ = 129257856. Its totient is φ = 31236480.

The previous prime is 66346591. The next prime is 66346607. The reversal of 66346605 is 50664366.

66346605 is a `hidden beast` number, since 6 + 6 + 3 + 46 + 605 = 666.

It is not a de Polignac number, because 66346605 - 210 = 66345581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66346605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66346607) 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 47 ways as a sum of consecutive naturals, for example, 10990 + ... + 15920.

It is an arithmetic number, because the mean of its divisors is an integer number (2692872).

Almost surely, 266346605 is an apocalyptic number.

66346605 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66346605 is a deficient number, since it is larger than the sum of its proper divisors (62911251).

66346605 is a wasteful number, since it uses less digits than its factorization.

66346605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 66346605 is about 8145.3425342339. The cubic root of 66346605 is about 404.8301985945.

The spelling of 66346605 in words is "sixty-six million, three hundred forty-six thousand, six hundred five".

Divisors: 1 3 5 9 13 15 23 39 45 65 69 115 117 195 207 299 345 585 897 1035 1495 2691 4485 4931 13455 14793 24655 44379 64103 73965 113413 192309 221895 320515 340239 567065 576927 961545 1020717 1474369 1701195 2884635 4423107 5103585 7371845 13269321 22115535 66346605