Search a number
-
+
8609422016 = 261397107997
BaseRepresentation
bin10000000010010100…
…10101101011000000
3211020000010221202002
420001022111223000
5120113003001031
63542145443132
7423230610506
oct100112255300
924200127662
108609422016
113718881208
1218033404a8
13a7288a470
145b95c4676
15355c79ccb
hex201295ac0

8609422016 has 112 divisors (see below), whose sum is σ = 18780715296. Its totient is φ = 3891953664.

The previous prime is 8609422001. The next prime is 8609422027. The reversal of 8609422016 is 6102249068.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8634830 + ... + 8635826.

It is an arithmetic number, because the mean of its divisors is an integer number (167684958).

Almost surely, 28609422016 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 8609422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9390357648).

8609422016 is an abundant number, since it is smaller than the sum of its proper divisors (10171293280).

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

8609422016 is a wasteful number, since it uses less digits than its factorization.

8609422016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 8609422016 is about 92786.9711543598. The cubic root of 8609422016 is about 2049.5475516263.

The spelling of 8609422016 in words is "eight billion, six hundred nine million, four hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 107 194 208 214 388 416 428 776 832 856 997 1261 1391 1552 1712 1994 2522 2782 3104 3424 3988 5044 5564 6208 6848 7976 10088 10379 11128 12961 15952 20176 20758 22256 25922 31904 40352 41516 44512 51844 63808 80704 83032 89024 96709 103688 106679 134927 166064 193418 207376 213358 269854 332128 386836 414752 426716 539708 664256 773672 829504 853432 1079416 1257217 1386827 1547344 1706864 2158832 2514434 2773654 3094688 3413728 4317664 5028868 5547308 6189376 6827456 8635328 10057736 10347863 11094616 20115472 20695726 22189232 40230944 41391452 44378464 80461888 82782904 88756928 134522219 165565808 269044438 331131616 538088876 662263232 1076177752 2152355504 4304711008 8609422016