Search a number
-
+
11580089039325 = 32525321138911831
BaseRepresentation
bin1010100010000011001100…
…0101111111100111011101
31112000001020022112010112200
42220200303011333213131
53004212010243224300
640343453000522113
72303430254516322
oct250406305774735
945001208463480
1011580089039325
1137650a7409004
121370370480339
1365ccc7c80511
142c069d2b0b49
151513584e8200
hexa883317f9dd

11580089039325 has 144 divisors (see below), whose sum is σ = 21289106517120. Its totient is φ = 6014788416000.

The previous prime is 11580089039287. The next prime is 11580089039327. The reversal of 11580089039325 is 52393098008511.

11580089039325 is a `hidden beast` number, since 1 + 1 + 580 + 0 + 8 + 9 + 0 + 39 + 3 + 25 = 666.

It is not a de Polignac number, because 11580089039325 - 238 = 11305211132381 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11580089039327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 978786160 + ... + 978797990.

It is an arithmetic number, because the mean of its divisors is an integer number (147841017480).

Almost surely, 211580089039325 is an apocalyptic number.

11580089039325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11580089039325 is a deficient number, since it is larger than the sum of its proper divisors (9709017477795).

11580089039325 is a wasteful number, since it uses less digits than its factorization.

11580089039325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12500 (or 12492 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 11580089039325 in words is "eleven trillion, five hundred eighty billion, eighty-nine million, thirty-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 211 225 265 389 477 633 795 1055 1167 1325 1899 1945 2385 3165 3501 3975 5275 5835 9495 9725 11183 11831 11925 15825 17505 20617 29175 33549 35493 47475 55915 59155 61851 82079 87525 100647 103085 106479 167745 177465 185553 246237 279575 295775 309255 410395 503235 515425 532395 627043 738711 838725 887325 927765 1231185 1546275 1881129 2051975 2496341 2516175 2661975 3135215 3693555 4350187 4602259 4638825 5643387 6155925 7489023 9405645 12481705 13050561 13806777 15676075 18467775 21750935 22467069 23011295 28216935 37445115 39151683 41420331 47028225 62408525 65252805 69033885 108754675 112335345 115056475 132306073 141084675 187225575 195758415 207101655 243919727 326264025 345169425 396918219 561676725 661530365 731759181 971076649 978792075 1035508275 1190754657 1219598635 1984591095 2195277543 2913229947 3307651825 3658795905 4855383245 5953773285 6097993175 8739689841 9922955475 10976387715 14566149735 18293979525 24276916225 29768866425 43698449205 51467062397 54881938575 72830748675 154401187191 218492246025 257335311985 463203561573 772005935955 1286676559925 2316017807865 3860029679775 11580089039325