Search a number
-
+
66815685 = 345192457
BaseRepresentation
bin1111111011100…
…0011011000101
311122201120220000
43332320123011
5114101100220
610344031513
71440631626
oct376703305
9148646800
1066815685
1134796682
121a462599
1310ac5311
148c33a4d
155cec390
hex3fb86c5

66815685 has 60 divisors (see below), whose sum is σ = 126685548. Its totient is φ = 33685632.

The previous prime is 66815663. The next prime is 66815687. The reversal of 66815685 is 58651866.

66815685 is a `hidden beast` number, since 6 + 6 + 81 + 568 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42224004 + 24591681 = 6498^2 + 4959^2 .

It is not a de Polignac number, because 66815685 - 210 = 66814661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (345600) is a multiple of the sum of its prime factors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 66815685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66815687) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145977 + ... + 146433.

Almost surely, 266815685 is an apocalyptic number.

It is an amenable number.

66815685 is a deficient number, since it is larger than the sum of its proper divisors (59869863).

66815685 is a wasteful number, since it uses less digits than its factorization.

66815685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 66815685 is about 8174.0861874585. The cubic root of 66815685 is about 405.7820280785.

The spelling of 66815685 in words is "sixty-six million, eight hundred fifteen thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 361 405 457 513 855 1083 1371 1539 1805 2285 2565 3249 4113 5415 6855 7695 8683 9747 12339 16245 20565 26049 29241 37017 43415 48735 61695 78147 130245 146205 164977 185085 234441 390735 494931 703323 824885 1172205 1484793 2474655 3516615 4454379 7423965 13363137 22271895 66815685