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42727354889824 = 2511196619665143
BaseRepresentation
bin10011011011100001111001…
…10011110111011001100000
312121021200202211022122101001
421231300330303313121200
521100021110322433244
6230512401552521344
711666643454102513
oct1155607463673140
9177250684278331
1042727354889824
1112683629a32110
124960a20850254
131aac2316553b7
14a7a02d292d7a
154e16835895d4
hex26dc3ccf7660

42727354889824 has 96 divisors (see below), whose sum is σ = 96742678959360. Its totient is φ = 18371501913600.

The previous prime is 42727354889783. The next prime is 42727354889831. The reversal of 42727354889824 is 42898845372724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411804 + ... + 9253339.

It is an arithmetic number, because the mean of its divisors is an integer number (1007736239160).

Almost surely, 242727354889824 is an apocalyptic number.

42727354889824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42727354889824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48371339479680).

42727354889824 is an abundant number, since it is smaller than the sum of its proper divisors (54015324069536).

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

42727354889824 is a wasteful number, since it uses less digits than its factorization.

42727354889824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665844 (or 9665836 counting only the distinct ones).

The product of its digits is 1734082560, while the sum is 73.

The spelling of 42727354889824 in words is "forty-two trillion, seven hundred twenty-seven billion, three hundred fifty-four million, eight hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 661 836 1322 1672 2644 3344 5288 6688 7271 10576 12559 14542 21152 25118 29084 50236 58168 100472 116336 138149 200944 232672 276298 401888 552596 1105192 2210384 4420768 9665143 19330286 38660572 77321144 106316573 154642288 183637717 212633146 309284576 367275434 425266292 734550868 850532584 1469101736 1701065168 2020014887 2938203472 3402130336 4040029774 5876406944 6388659523 8080059548 12777319046 16160119096 25554638092 32320238192 51109276184 64640476384 70275254753 102218552368 121384530937 140550509506 204437104736 242769061874 281101019012 485538123748 562202038024 971076247496 1124404076048 1335229840307 1942152494992 2248808152096 2670459680614 3884304989984 5340919361228 10681838722456 21363677444912 42727354889824