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6830028576 = 253273387911
BaseRepresentation
bin1100101110001100…
…11111011100100000
3122121222220101211100
412113012133130200
5102441441403301
63045423114400
7331153166520
oct62706373440
918558811740
106830028576
112995411618
1213a7442a00
1384b033937
1448b153680
1529e942286
hex19719f720

6830028576 has 72 divisors (see below), whose sum is σ = 22197599424. Its totient is φ = 1951436160.

The previous prime is 6830028563. The next prime is 6830028577. The reversal of 6830028576 is 6758200386.

6830028576 is a `hidden beast` number, since 68 + 300 + 285 + 7 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6830028577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1691940 + ... + 1695971.

It is an arithmetic number, because the mean of its divisors is an integer number (308299992).

Almost surely, 26830028576 is an apocalyptic number.

It is an amenable number.

6830028576 is an abundant number, since it is smaller than the sum of its proper divisors (15367570848).

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

6830028576 is a wasteful number, since it uses less digits than its factorization.

6830028576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387934 (or 3387923 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6830028576 is about 82643.9869318996. The cubic root of 6830028576 is about 1897.3211163105.

The spelling of 6830028576 in words is "six billion, eight hundred thirty million, twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3387911 6775822 10163733 13551644 20327466 23715377 27103288 30491199 40654932 47430754 54206576 60982398 71146131 81309864 94861508 108413152 121964796 142292262 162619728 189723016 213438393 243929592 284584524 325239456 379446032 426876786 487859184 569169048 758892064 853753572 975718368 1138338096 1707507144 2276676192 3415014288 6830028576