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4563472384 = 2121765537
BaseRepresentation
bin1000100000000000…
…10001000000000000
3102210000222102020201
410100000101000000
533321222104014
62032455014544
7221041606132
oct42000210000
912700872221
104563472384
111a31a63389
12a7436a454
1357959b123
1431410d052
151ba979e74
hex110011000

4563472384 has 52 divisors (see below), whose sum is σ = 9662791644. Its totient is φ = 2147483648.

The previous prime is 4563472373. The next prime is 4563472391. The reversal of 4563472384 is 4832743654.

It can be written as a sum of positive squares in 2 ways, for example, as 4286582784 + 276889600 = 65472^2 + 16640^2 .

It is a zygodrome in base 16.

It is an unprimeable number.

In principle, a polygon with 4563472384 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36864 + ... + 102400.

Almost surely, 24563472384 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 4563472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831395822).

4563472384 is an abundant number, since it is smaller than the sum of its proper divisors (5099319260).

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

4563472384 is an equidigital number, since it uses as much as digits as its factorization.

4563472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65578 (or 65556 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 46.

The square root of 4563472384 is about 67553.4779563569. The cubic root of 4563472384 is about 1658.6896787002.

The spelling of 4563472384 in words is "four billion, five hundred sixty-three million, four hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8704 17408 34816 65537 69632 131074 262148 524296 1048592 1114129 2097184 2228258 4194368 4456516 8388736 8913032 16777472 17826064 33554944 35652128 67109888 71304256 134219776 142608512 268439552 285217024 570434048 1140868096 2281736192 4563472384