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4463324704 = 251734923509
BaseRepresentation
bin1000010100000100…
…01110111000100000
3102112001112101110101
410022002032320200
533120102342304
62014520312144
7215414430316
oct41202167040
912461471411
104463324704
111990480a03
12a46912654
13561905347
14304ac00b6
151b1c968a4
hex10a08ee20

4463324704 has 48 divisors (see below), whose sum is σ = 9331119000. Its totient is φ = 2094280704.

The previous prime is 4463324693. The next prime is 4463324741. The reversal of 4463324704 is 4074233644.

It can be written as a sum of positive squares in 4 ways, for example, as 4279776400 + 183548304 = 65420^2 + 13548^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178102 + ... + 201610.

Almost surely, 24463324704 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 4463324704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665559500).

4463324704 is an abundant number, since it is smaller than the sum of its proper divisors (4867794296).

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

4463324704 is a wasteful number, since it uses less digits than its factorization.

4463324704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23885 (or 23877 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 37.

The square root of 4463324704 is about 66808.1185485716. The cubic root of 4463324704 is about 1646.4662301632.

The spelling of 4463324704 in words is "four billion, four hundred sixty-three million, three hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 349 544 698 1396 2792 5584 5933 11168 11866 23509 23732 47018 47464 94036 94928 188072 189856 376144 399653 752288 799306 1598612 3197224 6394448 8204641 12788896 16409282 32818564 65637128 131274256 139478897 262548512 278957794 557915588 1115831176 2231662352 4463324704