Search a number
-
+
4464109768336 = 24233222672
BaseRepresentation
bin100000011110110000110…
…1011010100111010010000
3120210202122111002201222021
41000331201223110322100
51041114444100041321
613254441141021224
7640343541643531
oct100754153247220
916722574081867
104464109768336
111471244648889
126012113b4814
13264c6b46942a
141160c7b20688
157b1c5d10941
hex40f61ad4e90

4464109768336 has 45 divisors (see below), whose sum is σ = 8690326481641. Its totient is φ = 2221494889856.

The previous prime is 4464109768309. The next prime is 4464109768439. The reversal of 4464109768336 is 6338679014644.

The square root of 4464109768336 is 2112844.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 906570579600 + 3557539188736 = 952140^2 + 1886144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1969169475 + ... + 1969171741.

Almost surely, 24464109768336 is an apocalyptic number.

4464109768336 is the 2112844-th square number.

It is an amenable number.

4464109768336 is a deficient number, since it is larger than the sum of its proper divisors (4226216713305).

4464109768336 is an frugal number, since it uses more digits than its factorization.

4464109768336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 61.

The spelling of 4464109768336 in words is "four trillion, four hundred sixty-four billion, one hundred nine million, seven hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 233 466 932 1864 2267 3728 4534 9068 18136 36272 54289 108578 217156 434312 528211 868624 1056422 2112844 4225688 5139289 8451376 10278578 20557156 41114312 82228624 123073163 246146326 492292652 984585304 1197454337 1969170608 2394908674 4789817348 9579634696 19159269392 279006860521 558013721042 1116027442084 2232054884168 4464109768336