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4534479648 = 253237425533
BaseRepresentation
bin1000011100100011…
…01010101100100000
3102201000102102200200
410032101222230200
533241311322043
62025541345200
7220240304166
oct41621525440
912630372620
104534479648
111a17660746
12a66708200
1357358976a
14310323236
151b814e7d3
hex10e46ab20

4534479648 has 72 divisors (see below), whose sum is σ = 13243469148. Its totient is φ = 1470638592.

The previous prime is 4534479641. The next prime is 4534479671. The reversal of 4534479648 is 8469744354.

4534479648 is a `hidden beast` number, since 4 + 534 + 47 + 9 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4530366864 + 4112784 = 67308^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4534479594 and 4534479603.

It is not an unprimeable number, because it can be changed into a prime (4534479641) 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 11 ways as a sum of consecutive naturals, for example, 202111 + ... + 223422.

Almost surely, 24534479648 is an apocalyptic number.

4534479648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4534479648 is an abundant number, since it is smaller than the sum of its proper divisors (8708989500).

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

4534479648 is a wasteful number, since it uses less digits than its factorization.

4534479648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425586 (or 425575 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 4534479648 is about 67338.5450392270. The cubic root of 4534479648 is about 1655.1695408987.

The spelling of 4534479648 in words is "four billion, five hundred thirty-four million, four hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 425533 851066 1276599 1702132 2553198 3404264 3829797 5106396 6808528 7659594 10212792 13617056 15319188 15744721 20425584 30638376 31489442 40851168 47234163 61276752 62978884 94468326 122553504 125957768 141702489 188936652 251915536 283404978 377873304 503831072 566809956 755746608 1133619912 1511493216 2267239824 4534479648