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255904854084 = 2232119746314389
BaseRepresentation
bin1110111001010100011…
…1100011000001000100
3220110112110010112010200
43232111013203001010
513143043120312314
6313321105050500
724326363240535
oct3562507430104
9813473115120
10255904854084
119958a689550
124171a026a30
131b1935236a9
14c558b3468c
1569cb40a709
hex3b951e3044

255904854084 has 144 divisors (see below), whose sum is σ = 714541551360. Its totient is φ = 76576389120.

The previous prime is 255904854067. The next prime is 255904854097. The reversal of 255904854084 is 480458409552.

255904854084 is a `hidden beast` number, since 2 + 5 + 5 + 90 + 4 + 8 + 540 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 255904854084.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17777562 + ... + 17791950.

Almost surely, 2255904854084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255904854084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357270775680).

255904854084 is an abundant number, since it is smaller than the sum of its proper divisors (458636697276).

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

255904854084 is a wasteful number, since it uses less digits than its factorization.

255904854084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14970 (or 14965 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 255904854084 in words is "two hundred fifty-five billion, nine hundred four million, eight hundred fifty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 463 582 873 926 1067 1164 1389 1746 1852 2134 2778 3201 3492 4167 4268 5093 5556 6402 8334 9603 10186 12804 14389 15279 16668 19206 20372 28778 30558 38412 43167 44911 45837 57556 61116 86334 89822 91674 129501 134733 158279 172668 179644 183348 259002 269466 316558 404199 474837 494021 518004 538932 633116 808398 949674 988042 1395733 1424511 1482063 1616796 1899348 1976084 2791466 2849022 2964126 4187199 4446189 5582932 5698044 5928252 6662107 8374398 8892378 12561597 13324214 15353063 16748796 17784756 19986321 25123194 26648428 30706126 39972642 46059189 50246388 59958963 61412252 73283177 79945284 92118378 119917926 138177567 146566354 184236756 219849531 239835852 276355134 293132708 439699062 552710268 646224379 659548593 879398124 1292448758 1319097186 1938673137 2584897516 2638194372 3877346274 5816019411 7108468169 7754692548 11632038822 14216936338 21325404507 23264077644 28433872676 42650809014 63976213521 85301618028 127952427042 255904854084