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17210899968 = 29341674079
BaseRepresentation
bin10000000001110110…
…010111111000000000
31122102110100022021120
4100001312113320000
5240221442244333
611523453152240
71146334143633
oct200166277000
948373308246
1017210899968
117332116979
123403a8b680
1318138c5aa2
14b93adbc1a
156aae85db3
hex401d97e00

17210899968 has 160 divisors (see below), whose sum is σ = 47681948160. Its totient is φ = 5512151040.

The previous prime is 17210899963. The next prime is 17210899999. The reversal of 17210899968 is 86999801271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17210899963) 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, 4217353 + ... + 4221431.

It is an arithmetic number, because the mean of its divisors is an integer number (298012176).

Almost surely, 217210899968 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 17210899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23840974080).

17210899968 is an abundant number, since it is smaller than the sum of its proper divisors (30471048192).

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

17210899968 is an equidigital number, since it uses as much as digits as its factorization.

17210899968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 60.

The spelling of 17210899968 in words is "seventeen billion, two hundred ten million, eight hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 67 82 96 123 128 134 164 192 201 246 256 268 328 384 402 492 512 536 656 768 804 984 1072 1312 1536 1608 1968 2144 2624 2747 3216 3936 4079 4288 5248 5494 6432 7872 8158 8241 8576 10496 10988 12237 12864 15744 16316 16482 17152 20992 21976 24474 25728 31488 32632 32964 34304 43952 48948 51456 62976 65264 65928 87904 97896 102912 130528 131856 167239 175808 195792 261056 263712 273293 334478 351616 391584 501717 522112 527424 546586 668956 703232 783168 819879 1003434 1044224 1054848 1093172 1337912 1406464 1566336 1639758 2006868 2088448 2109696 2186344 2675824 3132672 3279516 4013736 4219392 4372688 5351648 6265344 6559032 8027472 8745376 10703296 11205013 13118064 16054944 17490752 21406592 22410026 26236128 32109888 33615039 34981504 42813184 44820052 52472256 64219776 67230078 69963008 85626368 89640104 104944512 128439552 134460156 139926016 179280208 209889024 256879104 268920312 358560416 419778048 537840624 717120832 1075681248 1434241664 2151362496 2868483328 4302724992 5736966656 8605449984 17210899968