Search a number
-
+
255556030058520 = 23353117867870433
BaseRepresentation
bin111010000110110101000110…
…011001000101000000011000
31020111211220210010120001012120
4322012311012121011000120
5231444012222143333040
62303304453001141240
7104554212442232652
oct7206650631050030
91214756703501176
10255556030058520
11744787816aa684
12247b457948a820
13ac79aa4025159
144716d9931d6d2
151e828eaebc7d0
hexe86d46645018

255556030058520 has 128 divisors (see below), whose sum is σ = 769231911651840. Its totient is φ = 67920435671040.

The previous prime is 255556030058477. The next prime is 255556030058533. The reversal of 255556030058520 is 25850030655552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293161224 + ... + 294031656.

It is an arithmetic number, because the mean of its divisors is an integer number (6009624309780).

Almost surely, 2255556030058520 is an apocalyptic number.

255556030058520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255556030058520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384615955825920).

255556030058520 is an abundant number, since it is smaller than the sum of its proper divisors (513675881593320).

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

255556030058520 is a wasteful number, since it uses less digits than its factorization.

255556030058520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878625 (or 878621 counting only the distinct ones).

The product of its (nonzero) digits is 9000000, while the sum is 51.

The spelling of 255556030058520 in words is "two hundred fifty-five trillion, five hundred fifty-six billion, thirty million, fifty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 7867 9330 12440 15734 18660 23601 31468 37320 39335 47202 62936 78670 94404 118005 157340 188808 236010 314680 472020 870433 944040 1740866 2446637 2611299 3481732 4352165 4893274 5222598 6963464 7339911 8704330 9786548 10445196 12233185 13056495 14679822 17408660 19573096 20890392 24466370 26112990 29359644 34817320 36699555 48932740 52225980 58719288 73399110 97865480 104451960 146798220 270704663 293596440 541409326 812113989 1082818652 1353523315 1624227978 2165637304 2707046630 3248455956 4060569945 5414093260 6496911912 6847696411 8121139890 10828186520 13695392822 16242279780 20543089233 27390785644 32484559560 34238482055 41086178466 54781571288 68476964110 82172356932 102715446165 136953928220 164344713864 205430892330 273907856440 410861784660 821723569320 2129633583821 4259267167642 6388900751463 8518534335284 10648167919105 12777801502926 17037068670568 21296335838210 25555603005852 31944503757315 42592671676420 51111206011704 63889007514630 85185343352840 127778015029260 255556030058520