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968706216 = 233479127149
BaseRepresentation
bin111001101111010…
…100100010101000
32111111210101010000
4321233110202220
53440442044331
6240042423000
733001603242
oct7157244250
92444711100
10968706216
1145789a355
12230501a60
1312590135a
1492923092
155a09e0e6
hex39bd48a8

968706216 has 160 divisors (see below), whose sum is σ = 2787840000. Its totient is φ = 314181504.

The previous prime is 968706199. The next prime is 968706253. The reversal of 968706216 is 612607869.

968706216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6501310 + ... + 6501458.

It is an arithmetic number, because the mean of its divisors is an integer number (17424000).

Almost surely, 2968706216 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 968706216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393920000).

968706216 is an abundant number, since it is smaller than the sum of its proper divisors (1819133784).

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

968706216 is a wasteful number, since it uses less digits than its factorization.

968706216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 968706216 is about 31124.0456239224. The cubic root of 968706216 is about 989.4579953287.

The spelling of 968706216 in words is "nine hundred sixty-eight million, seven hundred six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 127 149 158 162 216 237 254 298 316 324 381 447 474 508 596 632 648 711 762 894 948 1016 1143 1192 1341 1422 1524 1788 1896 2133 2286 2682 2844 3048 3429 3576 4023 4266 4572 5364 5688 6399 6858 8046 8532 9144 10033 10287 10728 11771 12069 12798 13716 16092 17064 18923 20066 20574 23542 24138 25596 27432 30099 32184 35313 37846 40132 41148 47084 48276 51192 56769 60198 70626 75692 80264 82296 90297 94168 96552 105939 113538 120396 141252 151384 170307 180594 211878 227076 240792 270891 282504 317817 340614 361188 423756 454152 510921 541782 635634 681228 722376 812673 847512 953451 1021842 1083564 1271268 1362456 1494917 1532763 1625346 1906902 2043684 2167128 2542536 2989834 3065526 3250692 3813804 4087368 4484751 5979668 6131052 6501384 7627608 8969502 11959336 12262104 13454253 17939004 26908506 35878008 40362759 53817012 80725518 107634024 121088277 161451036 242176554 322902072 484353108 968706216