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255126651444 = 223272144629621
BaseRepresentation
bin1110110110011010111…
…0111100001000110100
3220101112012210201210200
43231212232330020310
513134444410321234
6313111545320500
724301163520300
oct3554656741064
9811465721720
10255126651444
1199220386375
1241541496130
131b09b233062
14c4c3640d00
156982e3bd99
hex3b66bbc234

255126651444 has 54 divisors (see below), whose sum is σ = 750193849314. Its totient is φ = 72893328480.

The previous prime is 255126651419. The next prime is 255126651467. The reversal of 255126651444 is 444156621552.

255126651444 is a `hidden beast` number, since 2 + 5 + 5 + 126 + 6 + 514 + 4 + 4 = 666.

255126651444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 163044748944 + 92081902500 = 403788^2 + 303450^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 255126651444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72313047 + ... + 72316574.

It is an arithmetic number, because the mean of its divisors is an integer number (13892478691).

Almost surely, 2255126651444 is an apocalyptic number.

It is an amenable number.

255126651444 is an abundant number, since it is smaller than the sum of its proper divisors (495067197870).

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

255126651444 is a wasteful number, since it uses less digits than its factorization.

255126651444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144629645 (or 144629633 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 255126651444 in words is "two hundred fifty-five billion, one hundred twenty-six million, six hundred fifty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 144629621 289259242 433888863 578518484 867777726 1012407347 1301666589 1735555452 2024814694 2603333178 3037222041 4049629388 5206666356 6074444082 7086851429 9111666123 12148888164 14173702858 18223332246 21260554287 28347405716 36446664492 42521108574 63781662861 85042217148 127563325722 255126651444