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12080876138478 = 23272131154367763
BaseRepresentation
bin1010111111001100110001…
…0101001010111111101110
31120202220212000210121211200
42233303030111022333232
53040413113242412403
641405513342230330
72354546241601500
oct257631425127756
946686760717750
1012080876138478
11393851a6a5774
121431430b853a6
136982b61b5124
142daa08c61d70
1515e3b82a5ca3
hexafccc54afee

12080876138478 has 144 divisors (see below), whose sum is σ = 30701509128576. Its totient is φ = 3423059771040.

The previous prime is 12080876138449. The next prime is 12080876138531. The reversal of 12080876138478 is 87483167808021.

12080876138478 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 0 + 8 + 7 + 613 + 8 + 4 + 7 + 8 = 666.

It is a super-2 number, since 2×120808761384782 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178247425 + ... + 178315187.

It is an arithmetic number, because the mean of its divisors is an integer number (213204924504).

Almost surely, 212080876138478 is an apocalyptic number.

12080876138478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12080876138478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350754564288).

12080876138478 is an abundant number, since it is smaller than the sum of its proper divisors (18620632990098).

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

12080876138478 is a wasteful number, since it uses less digits than its factorization.

12080876138478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69459 (or 69449 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 12080876138478 in words is "twelve trillion, eighty billion, eight hundred seventy-six million, one hundred thirty-eight thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 131 147 262 294 393 441 786 882 917 1179 1543 1834 2358 2751 3086 4629 5502 6419 8253 9258 10801 12838 13887 16506 19257 21602 27774 32403 38514 57771 64806 67763 75607 97209 115542 135526 151214 194418 202133 203289 226821 404266 406578 453642 474341 606399 609867 680463 948682 1212798 1219734 1360926 1414931 1423023 1819197 2829862 2846046 3320387 3638394 4244793 4269069 6640774 8489586 8538138 8876953 9904517 9961161 12734379 17753906 19809034 19922322 25468758 26630859 29713551 29883483 53261718 59427102 59766966 62138671 79892577 89140653 104558309 124277342 159785154 178281306 186416013 209116618 313674927 372832026 434970697 559248039 627349854 731908163 869941394 941024781 1118496078 1304912091 1463816326 1882049562 2195724489 2609824182 3914736273 4391448978 5123357141 6587173467 7829472546 10246714282 13174346934 13697138479 15370071423 27394276958 30740142846 41091415437 46110214269 82182830874 92220428538 95879969353 123274246311 191759938706 246548492622 287639908059 575279816118 671159785471 862919724177 1342319570942 1725839448354 2013479356413 4026958712826 6040438069239 12080876138478