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71710221712 = 24172933532549
BaseRepresentation
bin100001011001001000…
…0110010010110010000
320212002121102201000111
41002302100302112100
52133330304043322
652535422531104
75116021553533
oct1026220622620
9225077381014
1071710221712
1128459606a48
1211a93736a94
1369ba86266c
143683bdca1a
151cea833177
hex10b2432590

71710221712 has 80 divisors (see below), whose sum is σ = 148089740400. Its totient is φ = 33522384896.

The previous prime is 71710221707. The next prime is 71710221719. The reversal of 71710221712 is 21712201717.

It can be written as a sum of positive squares in 8 ways, for example, as 24874336656 + 46835885056 = 157716^2 + 216416^2 .

It is not an unprimeable number, because it can be changed into a prime (71710221719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28131414 + ... + 28133962.

It is an arithmetic number, because the mean of its divisors is an integer number (1851121755).

Almost surely, 271710221712 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 71710221712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74044870200).

71710221712 is an abundant number, since it is smaller than the sum of its proper divisors (76379518688).

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

71710221712 is a wasteful number, since it uses less digits than its factorization.

71710221712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 31.

The spelling of 71710221712 in words is "seventy-one billion, seven hundred ten million, two hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 293 353 586 706 1172 1412 2344 2549 2824 4688 4981 5098 5648 6001 9962 10196 12002 19924 20392 24004 39848 40784 43333 48008 79696 86666 96016 103429 173332 206858 346664 413716 693328 746857 827432 899797 1493714 1654864 1758293 1799594 2987428 3516586 3599188 5974856 7033172 7198376 11949712 12696569 14066344 14396752 15296549 25393138 28132688 30593098 50786276 61186196 101572552 122372392 203145104 244744784 263640521 527281042 1054562084 2109124168 4218248336 4481888857 8963777714 17927555428 35855110856 71710221712