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255663344016 = 24325693120281
BaseRepresentation
bin1110111000011010111…
…0010000100110010000
3220102220121200112121100
43232012232100212100
513142044304002031
6313241120424400
724320401365543
oct3560656204620
9812817615540
10255663344016
1199476324453
1241671178100
131b155494422
14c534a2885a
1569b5101de6
hex3b86b90990

255663344016 has 60 divisors (see below), whose sum is σ = 716759978220. Its totient is φ = 85071313920.

The previous prime is 255663344011. The next prime is 255663344023. The reversal of 255663344016 is 610443366552.

255663344016 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 633 + 4 + 4 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35458396416 + 220204947600 = 188304^2 + 469260^2 .

It is a super-3 number, since 3×2556633440163 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (255663344011) 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, 1478205 + ... + 1642076.

It is an arithmetic number, because the mean of its divisors is an integer number (11945999637).

Almost surely, 2255663344016 is an apocalyptic number.

It is an amenable number.

255663344016 is an abundant number, since it is smaller than the sum of its proper divisors (461096634204).

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

255663344016 is a wasteful number, since it uses less digits than its factorization.

255663344016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120864 (or 3120855 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 255663344016 in words is "two hundred fifty-five billion, six hundred sixty-three million, three hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 20484 27312 40968 81936 3120281 6240562 9360843 12481124 18721686 24962248 28082529 37443372 49924496 56165058 74886744 112330116 149773488 224660232 449320464 1775439889 3550879778 5326319667 7101759556 10652639334 14203519112 15978959001 21305278668 28407038224 31957918002 42610557336 63915836004 85221114672 127831672008 255663344016