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96525917568 = 273363144263
BaseRepresentation
bin101100111100101100…
…1001001110110000000
3100020011001112200002000
41121321121021312000
53040141113330233
6112202101224000
76655000522203
oct1317131116600
9306131480060
1096525917568
1137a334005a3
121685a402000
139143b48b72
1449598cb93a
15279e24bd13
hex1679649d80

96525917568 has 128 divisors (see below), whose sum is σ = 285343449600. Its totient is φ = 32123589120.

The previous prime is 96525917563. The next prime is 96525917591. The reversal of 96525917568 is 86571952569.

96525917568 is a `hidden beast` number, since 9 + 6 + 5 + 2 + 59 + 17 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96525917563) by changing a digit.

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, 2158605 + ... + 2202867.

It is an arithmetic number, because the mean of its divisors is an integer number (2229245700).

Almost surely, 296525917568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96525917568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142671724800).

96525917568 is an abundant number, since it is smaller than the sum of its proper divisors (188817532032).

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

96525917568 is a wasteful number, since it uses less digits than its factorization.

96525917568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44917 (or 44899 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 96525917568 in words is "ninety-six billion, five hundred twenty-five million, nine hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 631 864 1152 1262 1728 1893 2524 3456 3786 5048 5679 7572 10096 11358 15144 17037 20192 22716 30288 34074 40384 44263 45432 60576 68148 80768 88526 90864 121152 132789 136296 177052 181728 242304 265578 272592 354104 363456 398367 531156 545184 708208 726912 796734 1062312 1090368 1195101 1416416 1593468 2124624 2180736 2390202 2832832 3186936 4249248 4780404 5665664 6373872 8498496 9560808 12747744 16996992 19121616 25495488 27929953 38243232 50990976 55859906 76486464 83789859 111719812 152972928 167579718 223439624 251369577 335159436 446879248 502739154 670318872 754108731 893758496 1005478308 1340637744 1508217462 1787516992 2010956616 2681275488 3016434924 3575033984 4021913232 5362550976 6032869848 8043826464 10725101952 12065739696 16087652928 24131479392 32175305856 48262958784 96525917568