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255351216564 = 223233317212897
BaseRepresentation
bin1110110111010000011…
…1100101100110110100
3220102002212100211020100
43231310013211212310
513140424402412224
6313150130434100
724306561346143
oct3556407454664
9812085324210
10255351216564
1199326117484
12415a4732930
131b10590b622
14c5053b975a
1569979e9ac9
hex3b741e59b4

255351216564 has 36 divisors (see below), whose sum is σ = 645493536324. Its totient is φ = 85114117632.

The previous prime is 255351216553. The next prime is 255351216581. The reversal of 255351216564 is 465612153552.

255351216564 is a `hidden beast` number, since 2 + 55 + 35 + 1 + 2 + 1 + 6 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117827427600 + 137523788964 = 343260^2 + 370842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 1092964 + ... + 1305860.

It is an arithmetic number, because the mean of its divisors is an integer number (17930376009).

Almost surely, 2255351216564 is an apocalyptic number.

It is an amenable number.

255351216564 is an abundant number, since it is smaller than the sum of its proper divisors (390142319760).

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

255351216564 is a wasteful number, since it uses less digits than its factorization.

255351216564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246224 (or 246219 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 255351216564 in words is "two hundred fifty-five billion, three hundred fifty-one million, two hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 33317 66634 99951 133268 199902 212897 299853 399804 425794 599706 638691 851588 1199412 1277382 1916073 2554764 3832146 7664292 7093089349 14186178698 21279268047 28372357396 42558536094 63837804141 85117072188 127675608282 255351216564