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19812560122485 = 345132377823429
BaseRepresentation
bin1001000000100111110001…
…00110111011001001110101
32121011001200101021011010000
410200103320212323021311
510044102110342404420
6110045433043021513
74113260465242524
oct440237046731165
977131611234100
1019812560122485
116349506749859
12227b98236a899
13b094161a2100
144c6d0c3204bb
15245584424690
hex1204f89bb275

19812560122485 has 120 divisors (see below), whose sum is σ = 39497399991720. Its totient is φ = 9490256275968.

The previous prime is 19812560122463. The next prime is 19812560122549. The reversal of 19812560122485 is 58422106521891.

It is a happy number.

19812560122485 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 2 + 5 + 601 + 2 + 24 + 8 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11302889348529 + 8509670773956 = 3361977^2 + 2917134^2 .

It is not a de Polignac number, because 19812560122485 - 212 = 19812560118389 is a prime.

It is a super-3 number, since 3×198125601224853 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1379250 + ... + 6444179.

It is an arithmetic number, because the mean of its divisors is an integer number (329144999931).

Almost surely, 219812560122485 is an apocalyptic number.

19812560122485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19812560122485 is a deficient number, since it is larger than the sum of its proper divisors (19684839869235).

19812560122485 is a wasteful number, since it uses less digits than its factorization.

19812560122485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823509 (or 7823487 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 19812560122485 in words is "nineteen trillion, eight hundred twelve billion, five hundred sixty million, one hundred twenty-two thousand, four hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 81 111 117 135 169 185 195 333 351 405 481 507 555 585 845 999 1053 1443 1521 1665 1755 2405 2535 2997 4329 4563 4995 5265 6253 7215 7605 12987 13689 14985 18759 21645 22815 31265 38961 56277 64935 68445 93795 168831 194805 281385 506493 844155 2532465 7823429 23470287 39117145 70410861 101704577 117351435 211232583 289466873 305113731 352054305 508522885 633697749 868400619 915341193 1056162915 1322159501 1447334365 1525568655 2605201857 2746023579 3168488745 3763069349 3966478503 4342003095 4576705965 6610797505 7815605571 8238070737 11289208047 11899435509 13026009285 13730117895 18815346745 19832392515 23446816713 33867624141 35698306527 39078027855 41190353685 48919901537 56446040235 59497177545 101602872423 107094919581 117234083565 146759704611 169338120705 178491532635 244599507685 304808617269 440279113833 508014362115 535474597905 733798523055 1320837341499 1524043086345 2201395569165 3962512024497 6604186707495 19812560122485