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66066421146432 = 263749998510147
BaseRepresentation
bin11110000010110010010011…
…00100000110001101000000
322122220212222111000220120220
433001121021210012031000
532124413012303141212
6352302254521103040
716626066335040060
oct1701311144061500
9278825874026526
1066066421146432
111a061680430a03
1274b0146927a80
132ab3062a6a9a5
1412458bbad53a0
15798814d6538c
hex3c1649906340

66066421146432 has 112 divisors (see below), whose sum is σ = 200172620736000. Its totient is φ = 18838292239872.

The previous prime is 66066421146419. The next prime is 66066421146461. The reversal of 66066421146432 is 23464112466066.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48584418 + ... + 49925729.

Almost surely, 266066421146432 is an apocalyptic number.

It is an amenable number.

66066421146432 is an abundant number, since it is smaller than the sum of its proper divisors (134106199589568).

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

66066421146432 is a wasteful number, since it uses less digits than its factorization.

66066421146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98510668 (or 98510658 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 66066421146432 in words is "sixty-six trillion, sixty-six billion, four hundred twenty-one million, one hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 499 672 998 1344 1497 1996 2994 3493 3992 5988 6986 7984 10479 11976 13972 15968 20958 23952 27944 31936 41916 47904 55888 83832 95808 111776 167664 223552 335328 670656 98510147 197020294 295530441 394040588 591060882 689571029 788081176 1182121764 1379142058 1576162352 2068713087 2364243528 2758284116 3152324704 4137426174 4728487056 5516568232 6304649408 8274852348 9456974112 11033136464 16549704696 18913948224 22066272928 33099409392 44132545856 49156563353 66198818784 98313126706 132397637568 147469690059 196626253412 294939380118 344095943471 393252506824 589878760236 688191886942 786505013648 1032287830413 1179757520472 1376383773884 1573010027296 2064575660826 2359515040944 2752767547768 3146020054592 4129151321652 4719030081888 5505535095536 8258302643304 9438060163776 11011070191072 16516605286608 22022140382144 33033210573216 66066421146432