Search a number
-
+
663521364 = 2232113794421
BaseRepresentation
bin100111100011001…
…000100001010100
31201020112101012100
4213203020201110
52324330140424
6145501322100
722304560422
oct4743104124
91636471170
10663521364
113105a4470
12166266330
13a76095bc
14641a0112
153d3b8dc9
hex278c8854

663521364 has 72 divisors (see below), whose sum is σ = 1834953120. Its totient is φ = 200491200.

The previous prime is 663521359. The next prime is 663521387. The reversal of 663521364 is 463125366.

663521364 is a `hidden beast` number, since 6 + 635 + 2 + 13 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147874 + ... + 152294.

It is an arithmetic number, because the mean of its divisors is an integer number (25485460).

Almost surely, 2663521364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663521364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917476560).

663521364 is an abundant number, since it is smaller than the sum of its proper divisors (1171431756).

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

663521364 is a wasteful number, since it uses less digits than its factorization.

663521364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4816 counting only the distinct ones).

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

The square root of 663521364 is about 25758.9084396059. The cubic root of 663521364 is about 872.2044610054.

The spelling of 663521364 in words is "six hundred sixty-three million, five hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 379 396 758 1137 1516 2274 3411 4169 4421 4548 6822 8338 8842 12507 13263 13644 16676 17684 25014 26526 37521 39789 48631 50028 53052 75042 79578 97262 145893 150084 159156 194524 291786 437679 583572 875358 1675559 1750716 3351118 5026677 6702236 10053354 15080031 18431149 20106708 30160062 36862298 55293447 60320124 73724596 110586894 165880341 221173788 331760682 663521364