Search a number
-
+
12788585208 = 2334719148387
BaseRepresentation
bin10111110100100001…
…00101001011111000
31020000020222102220000
423322100211023320
5202142334211313
65512555433000
7631625115660
oct137220451370
936006872800
1012788585208
115472906393
12258aa55760
13128a64bba9
148946551a0
154ecae0673
hex2fa4252f8

12788585208 has 160 divisors (see below), whose sum is σ = 43091875200. Its totient is φ = 3461548608.

The previous prime is 12788585197. The next prime is 12788585239. The reversal of 12788585208 is 80258588721.

12788585208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 11991 + ... + 160377.

It is an arithmetic number, because the mean of its divisors is an integer number (269324220).

Almost surely, 212788585208 is an apocalyptic number.

12788585208 is a gapful number since it is divisible by the number (18) 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 12788585208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21545937600).

12788585208 is an abundant number, since it is smaller than the sum of its proper divisors (30303289992).

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

12788585208 is a wasteful number, since it uses less digits than its factorization.

12788585208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148431 (or 148418 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 12788585208 in words is "twelve billion, seven hundred eighty-eight million, five hundred eighty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 6156 7182 9576 10773 12312 14364 21546 28728 43092 86184 148387 296774 445161 593548 890322 1038709 1187096 1335483 1780644 2077418 2670966 2819353 3116127 3561288 4006449 4154836 5341932 5638706 6232254 8012898 8309672 8458059 9348381 10683864 11277412 12019347 12464508 16025796 16916118 18696762 19735471 22554824 24038694 24929016 25374177 28045143 32051592 33832236 37393524 39470942 48077388 50748354 56090286 59206413 67664472 74787048 76122531 78941884 84135429 96154776 101496708 112180572 118412826 152245062 157883768 168270858 177619239 202993416 224361144 228367593 236825652 304490124 336541716 355238478 456735186 473651304 532857717 608980248 673083432 710476956 913470372 1065715434 1420953912 1598573151 1826940744 2131430868 3197146302 4262861736 6394292604 12788585208