Search a number
-
+
255801128796 = 223231273101287
BaseRepresentation
bin1110111000111011101…
…1110111011101011100
3220110021012221201210100
43232032323313131130
513142340042110141
6313302521541100
724323663501463
oct3561673673534
9813235851710
10255801128796
1199537083174
12416ab344790
131b177ba7395
14c5490539da
1569c226c0b6
hex3b8eef775c

255801128796 has 108 divisors (see below), whose sum is σ = 677298878256. Its totient is φ = 81385326720.

The previous prime is 255801128711. The next prime is 255801128797. The reversal of 255801128796 is 697821108552.

255801128796 is a `hidden beast` number, since 2 + 558 + 0 + 1 + 1 + 2 + 87 + 9 + 6 = 666.

255801128796 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255801128797) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2474865 + ... + 2576151.

Almost surely, 2255801128796 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 255801128796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338649439128).

255801128796 is an abundant number, since it is smaller than the sum of its proper divisors (421497749460).

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

255801128796 is a wasteful number, since it uses less digits than its factorization.

255801128796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101432 (or 101396 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 255801128796 in words is "two hundred fifty-five billion, eight hundred one million, one hundred twenty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 438 558 657 876 961 1116 1314 1922 2263 2628 2883 3844 4526 5766 6789 8649 9052 11532 13578 17298 20367 27156 34596 40734 70153 81468 101287 140306 202574 210459 280612 303861 405148 420918 607722 631377 841836 911583 1215444 1262754 1823166 2525508 3139897 3646332 6279794 7393951 9419691 12559588 14787902 18839382 22181853 28259073 29575804 37678764 44363706 56518146 66545559 88727412 97336807 113036292 133091118 194673614 229212481 266182236 292010421 389347228 458424962 584020842 687637443 876031263 916849924 1168041684 1375274886 1752062526 2062912329 2750549772 3504125052 4125824658 7105586911 8251649316 14211173822 21316760733 28422347644 42633521466 63950282199 85267042932 127900564398 255801128796