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18775027656256 = 26232235492
BaseRepresentation
bin1000100010011011001101…
…10110101010011001000000
32110110212121221212220010011
410101031212312222121000
54430102224040000011
6103533043441314304
73645310454631634
oct421154666523100
973425557786104
1018775027656256
115a89498714533
122132886935994
13a62629126a91
1448ca05308dc4
152285acb3c621
hex111366daa640

18775027656256 has 63 divisors (see below), whose sum is σ = 38948634307681. Its totient is φ = 8978979747584.

The previous prime is 18775027656227. The next prime is 18775027656311. The reversal of 18775027656256 is 65265672057781.

The square root of 18775027656256 is 4333016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14348206656 + 18760679449600 = 119784^2 + 4331360^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18775027656191 and 18775027656200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 797263170 + ... + 797286718.

Almost surely, 218775027656256 is an apocalyptic number.

18775027656256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18775027656256 is the 4333016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18775027656256

18775027656256 is an abundant number, since it is smaller than the sum of its proper divisors (20173606651425).

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

18775027656256 is an frugal number, since it uses more digits than its factorization.

18775027656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47156 (or 23574 counting only the distinct ones).

The product of its (nonzero) digits is 296352000, while the sum is 67.

The spelling of 18775027656256 in words is "eighteen trillion, seven hundred seventy-five billion, twenty-seven million, six hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 16928 23549 33856 47098 94196 188392 376784 541627 753568 1083254 1507136 2166508 4333016 8666032 12457421 17332064 24914842 34664128 49829684 99659368 199318736 398637472 554555401 797274944 1109110802 2218221604 4436443208 8872886416 12754774223 17745772832 25509548446 35491545664 51019096892 102038193784 204076387568 293359807129 408152775136 586719614258 816305550272 1173439228516 2346878457032 4693756914064 9387513828128 18775027656256