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4084868232288 = 253222013644327
BaseRepresentation
bin111011011100010101000…
…111101011010001100000
3112110111202111020121011200
4323130111013223101200
51013411302231413123
612404321302441200
7601056562036554
oct73342507532140
915414674217150
104084868232288
111335423696718
1255b812133200
132382806a4b6c
141019cc879864
15713cba53143
hex3b7151eb460

4084868232288 has 72 divisors (see below), whose sum is σ = 11616889768848. Its totient is φ = 1361558775552.

The previous prime is 4084868232259. The next prime is 4084868232293. The reversal of 4084868232288 is 8822328684804.

It is a happy number.

4084868232288 is a `hidden beast` number, since 4 + 0 + 84 + 86 + 82 + 322 + 88 = 666.

4084868232288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×40848682322882 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6017581 + ... + 6661907.

It is an arithmetic number, because the mean of its divisors is an integer number (161345691234).

Almost surely, 24084868232288 is an apocalyptic number.

4084868232288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4084868232288 is an abundant number, since it is smaller than the sum of its proper divisors (7532021536560).

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

4084868232288 is a wasteful number, since it uses less digits than its factorization.

4084868232288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666356 (or 666345 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 63.

The spelling of 4084868232288 in words is "four trillion, eighty-four billion, eight hundred sixty-eight million, two hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 22013 44026 66039 88052 132078 176104 198117 264156 352208 396234 528312 644327 704416 792468 1056624 1288654 1584936 1932981 2113248 2577308 3169872 3865962 5154616 5798943 6339744 7731924 10309232 11597886 15463848 20618464 23195772 30927696 46391544 61855392 92783088 185566176 14183570251 28367140502 42550710753 56734281004 85101421506 113468562008 127652132259 170202843012 226937124016 255304264518 340405686024 453874248032 510608529036 680811372048 1021217058072 1361622744096 2042434116144 4084868232288