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12718960320 = 2635111204447
BaseRepresentation
bin10111101100001101…
…11110111011000000
31012211101222010111110
423312012332323000
5202022023212240
65502031243320
7630121243653
oct136606767300
935741863443
1012718960320
115437581160
12256b679540
1312790b2031
148892cd89a
154e693ac80
hex2f61beec0

12718960320 has 112 divisors (see below), whose sum is σ = 44053890048. Its totient is φ = 3083381760.

The previous prime is 12718960301. The next prime is 12718960327. The reversal of 12718960320 is 2306981721.

It is not an unprimeable number, because it can be changed into a prime (12718960327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 591664 + ... + 612783.

It is an arithmetic number, because the mean of its divisors is an integer number (393338304).

Almost surely, 212718960320 is an apocalyptic number.

12718960320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12718960320 is an abundant number, since it is smaller than the sum of its proper divisors (31334929728).

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

12718960320 is a wasteful number, since it uses less digits than its factorization.

12718960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204478 (or 1204468 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 12718960320 in words is "twelve billion, seven hundred eighteen million, nine hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 1204447 2408894 3613341 4817788 6022235 7226682 9635576 12044470 13248917 14453364 18066705 19271152 24088940 26497834 28906728 36133410 38542304 39746751 48177880 52995668 57813456 66244585 72266820 77084608 79493502 96355760 105991336 115626912 132489170 144533640 158987004 192711520 198733755 211982672 231253824 264978340 289067280 317974008 385423040 397467510 423965344 529956680 578134560 635948016 794935020 847930688 1059913360 1156269120 1271896032 1589870040 2119826720 2543792064 3179740080 4239653440 6359480160 12718960320