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4384646016 = 27343265543
BaseRepresentation
bin1000001010101100…
…00110001110000000
3102022120111002120220
410011112012032000
532434432133031
62003030103040
7213440606352
oct40526061600
912276432526
104384646016
1119500224a3
12a244aaa80
1354b5184ca
142d847d0d2
151a9e04596
hex105586380

4384646016 has 64 divisors (see below), whose sum is σ = 11917614720. Its totient is φ = 1427553792.

The previous prime is 4384646011. The next prime is 4384646051. The reversal of 4384646016 is 6106464834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4384646011) by changing a digit.

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, 116260 + ... + 149283.

It is an arithmetic number, because the mean of its divisors is an integer number (186212730).

Almost surely, 24384646016 is an apocalyptic number.

It is an amenable number.

4384646016 is an abundant number, since it is smaller than the sum of its proper divisors (7532968704).

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

4384646016 is a wasteful number, since it uses less digits than its factorization.

4384646016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265603 (or 265591 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4384646016 is about 66216.6596560110. The cubic root of 4384646016 is about 1636.7342826035.

The spelling of 4384646016 in words is "four billion, three hundred eighty-four million, six hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 8256 16512 265543 531086 796629 1062172 1593258 2124344 3186516 4248688 6373032 8497376 11418349 12746064 16994752 22836698 25492128 33989504 34255047 45673396 50984256 68510094 91346792 101968512 137020188 182693584 274040376 365387168 548080752 730774336 1096161504 1461548672 2192323008 4384646016