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1986217968 = 24378097307
BaseRepresentation
bin111011001100011…
…0100011111110000
312010102102022211110
41312120310133300
513031432433333
6525031313320
7100135400640
oct16630643760
95112368743
101986217968
1192a193a59
1247521b840
13258660207
1414bb0c520
15b958e063
hex766347f0

1986217968 has 80 divisors (see below), whose sum is σ = 5872124160. Its totient is φ = 566711808.

The previous prime is 1986217951. The next prime is 1986217999. The reversal of 1986217968 is 8697126891.

It is a congruent number.

It is an unprimeable number.

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, 268171 + ... + 275477.

It is an arithmetic number, because the mean of its divisors is an integer number (73401552).

Almost surely, 21986217968 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 1986217968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936062080).

1986217968 is an abundant number, since it is smaller than the sum of its proper divisors (3885906192).

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

1986217968 is a wasteful number, since it uses less digits than its factorization.

1986217968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 8128 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 57.

The square root of 1986217968 is about 44567.0053739311. The cubic root of 1986217968 is about 1257.0203313191.

The spelling of 1986217968 in words is "one billion, nine hundred eighty-six million, two hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 809 1618 2427 3236 4854 5663 6472 7307 9708 11326 12944 14614 16989 19416 21921 22652 29228 33978 38832 43842 45304 51149 58456 67956 87684 90608 102298 116912 135912 153447 175368 204596 271824 306894 350736 409192 613788 818384 1227576 2455152 5911363 11822726 17734089 23645452 35468178 41379541 47290904 70936356 82759082 94581808 124138623 141872712 165518164 248277246 283745424 331036328 496554492 662072656 993108984 1986217968