Search a number
-
+
663666366 = 231121753773
BaseRepresentation
bin100111100011101…
…011111010111110
31201020210202002210
4213203223322332
52324344310431
6145504401250
722306033236
oct4743537276
91636722083
10663666366
11310693400
12166316226
13a765a5bc
14641dacc6
153d3e6d46
hex278ebebe

663666366 has 48 divisors (see below), whose sum is σ = 1544819472. Its totient is φ = 189277440.

The previous prime is 663666361. The next prime is 663666407.

663666366 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663666361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14545 + ... + 39228.

It is an arithmetic number, because the mean of its divisors is an integer number (32183739).

Almost surely, 2663666366 is an apocalyptic number.

663666366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

663666366 is an abundant number, since it is smaller than the sum of its proper divisors (881153106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

663666366 is a wasteful number, since it uses less digits than its factorization.

663666366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53817 (or 53806 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 48.

The square root of 663666366 is about 25761.7228849314. The cubic root of 663666366 is about 872.2679918307.

The spelling of 663666366 in words is "six hundred sixty-three million, six hundred sixty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 6171 12342 53773 107546 161319 322638 591503 914141 1183006 1774509 1828282 2742423 3549018 5484846 6506533 10055551 13013066 19519599 20111102 30166653 39039198 60333306 110611061 221222122 331833183 663666366