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12713367512320 = 28537439611483
BaseRepresentation
bin1011100100000000111111…
…0000010010010100000000
31200000101102102220111010021
42321000033300102110000
53131243434040343240
643012235043343224
72451340045556116
oct271001760222400
950011372814107
1012713367512320
114061788584342
121513b29081b14
13712b33406717
1431d48a397ab6
15170a8582254a
hexb900fc12500

12713367512320 has 144 divisors (see below), whose sum is σ = 31346822263680. Its totient is φ = 4936626266112.

The previous prime is 12713367512257. The next prime is 12713367512369. The reversal of 12713367512320 is 2321576331721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20485299 + ... + 21096781.

It is an arithmetic number, because the mean of its divisors is an integer number (217686265720).

Almost surely, 212713367512320 is an apocalyptic number.

12713367512320 is a gapful number since it is divisible by the number (10) 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 12713367512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673411131840).

12713367512320 is an abundant number, since it is smaller than the sum of its proper divisors (18633454751360).

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

12713367512320 is an equidigital number, since it uses as much as digits as its factorization.

12713367512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611980 (or 611966 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 12713367512320 in words is "twelve trillion, seven hundred thirteen billion, three hundred sixty-seven million, five hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 439 592 640 740 878 1184 1280 1480 1756 2195 2368 2960 3512 4390 4736 5920 7024 8780 9472 11840 14048 16243 17560 23680 28096 32486 35120 47360 56192 64972 70240 81215 112384 129944 140480 162430 259888 280960 324860 519776 561920 611483 649720 1039552 1222966 1299440 2079104 2445932 2598880 3057415 4158208 4891864 5197760 6114830 9783728 10395520 12229660 19567456 20791040 22624871 24459320 39134912 45249742 48918640 78269824 90499484 97837280 113124355 156539648 180998968 195674560 226248710 268441037 361997936 391349120 452497420 536882074 723995872 782698240 904994840 1073764148 1342205185 1447991744 1809989680 2147528296 2684410370 2895983488 3619979360 4295056592 5368820740 5791966976 7239958720 8590113184 9932318369 10737641480 14479917440 17180226368 19864636738 21475282960 28959834880 34360452736 39729273476 42950565920 49661591845 68720905472 79458546952 85901131840 99323183690 158917093904 171802263680 198646367380 317834187808 343604527360 397292734760 635668375616 794585469520 1271336751232 1589170939040 2542673502464 3178341878080 6356683756160 12713367512320