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663684896 = 25717199173
BaseRepresentation
bin100111100011110…
…000011100100000
31201020211200112002
4213203300130200
52324400404041
6145505023132
722306141250
oct4743603440
91636750462
10663684896
113106a6316
12166324aa8
13a7665b74
1464203960
153d3ec59b
hex278f0720

663684896 has 96 divisors (see below), whose sum is σ = 1664530560. Its totient is φ = 253587456.

The previous prime is 663684883. The next prime is 663684899. The reversal of 663684896 is 698486366.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (663684899) 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 15 ways as a sum of consecutive naturals, for example, 67766 + ... + 76938.

It is an arithmetic number, because the mean of its divisors is an integer number (17338860).

Almost surely, 2663684896 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 663684896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832265280).

663684896 is an abundant number, since it is smaller than the sum of its proper divisors (1000845664).

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

663684896 is a wasteful number, since it uses less digits than its factorization.

663684896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226 (or 9218 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 56.

The square root of 663684896 is about 25762.0825245165. The cubic root of 663684896 is about 872.2761098532.

The spelling of 663684896 in words is "six hundred sixty-three million, six hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 323 476 532 544 608 646 952 1064 1292 1904 2128 2261 2584 3808 4256 4522 5168 9044 9173 10336 18088 18346 36176 36692 64211 72352 73384 128422 146768 155941 174287 256844 293536 311882 348574 513688 623764 697148 1027376 1091587 1220009 1247528 1394296 2054752 2183174 2440018 2495056 2788592 2962879 4366348 4880036 4990112 5577184 5925758 8732696 9760072 11851516 17465392 19520144 20740153 23703032 34930784 39040288 41480306 47406064 82960612 94812128 165921224 331842448 663684896