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488007447468520 = 235718114276747857
BaseRepresentation
bin110111011110101110001011…
…0100011011101100111101000
32100222220001112002020010211111
41232331130112203131213220
51002431003223022443040
64445523305412440104
7204535242323365360
oct15675342643354750
92328801462203744
10488007447468520
1113154888384a331
1246897142919034
1317c3bb9bbcb715
1488719879d79a0
153b642d8734dea
hex1bbd7168dd9e8

488007447468520 has 128 divisors (see below), whose sum is σ = 1262693737992960. Its totient is φ = 166275809095680.

The previous prime is 488007447468487. The next prime is 488007447468523. The reversal of 488007447468520 is 25864744700884.

It is not an unprimeable number, because it can be changed into a prime (488007447468523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68946432 + ... + 75694288.

It is an arithmetic number, because the mean of its divisors is an integer number (9864794828070).

Almost surely, 2488007447468520 is an apocalyptic number.

488007447468520 is a gapful number since it is divisible by the number (40) 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 488007447468520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631346868996480).

488007447468520 is an abundant number, since it is smaller than the sum of its proper divisors (774686290524440).

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

488007447468520 is a wasteful number, since it uses less digits than its factorization.

488007447468520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749483 (or 6749479 counting only the distinct ones).

The product of its (nonzero) digits is 385351680, while the sum is 67.

The spelling of 488007447468520 in words is "four hundred eighty-eight trillion, seven billion, four hundred forty-seven million, four hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 280 362 724 905 1267 1427 1448 1810 2534 2854 3620 5068 5708 6335 7135 7240 9989 10136 11416 12670 14270 19978 25340 28540 39956 49945 50680 57080 79912 99890 199780 258287 399560 516574 1033148 1291435 1808009 2066296 2582870 3616018 5165740 6747857 7232036 9040045 10331480 13495714 14464072 18080090 26991428 33739285 36160180 47234999 53982856 67478570 72320360 94469998 134957140 188939996 236174995 269914280 377879992 472349990 944699980 1221362117 1889399960 2442724234 4885448468 6106810585 8549534819 9629191939 9770896936 12213621170 17099069638 19258383878 24427242340 34198139276 38516767756 42747674095 48145959695 48854484680 67404343573 68396278552 77033535512 85495348190 96291919390 134808687146 170990696380 192583838780 269617374292 337021717865 341981392760 385167677560 539234748584 674043435730 1348086871460 1742883740959 2696173742920 3485767481918 6971534963836 8714418704795 12200186186713 13943069927672 17428837409590 24400372373426 34857674819180 48800744746852 61000930933565 69715349638360 97601489493704 122001861867130 244003723734260 488007447468520