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43989189696 = 26369712
BaseRepresentation
bin101000111101111101…
…011100010001000000
311012112200102101000000
4220331331130101000
51210042213032241
632113001000000
73115043641314
oct507575342100
9135480371000
1043989189696
1117723829331
128637a83000
1341c068a63a
1421b4309b44
151226d23eb6
hexa3df5c440

43989189696 has 147 divisors (see below), whose sum is σ = 131011626343. Its totient is φ = 14647962240.

The previous prime is 43989189659. The next prime is 43989189701. The reversal of 43989189696 is 69698198934.

The square root of 43989189696 is 209736.

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

43989189696 is a `hidden beast` number, since 439 + 8 + 9 + 18 + 96 + 96 = 666.

It is a super-2 number, since 2×439891896962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian 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 20 ways as a sum of consecutive naturals, for example, 45302491 + ... + 45303461.

Almost surely, 243989189696 is an apocalyptic number.

43989189696 is the 209736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43989189696

43989189696 is an abundant number, since it is smaller than the sum of its proper divisors (87022436647).

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

43989189696 is an frugal number, since it uses more digits than its factorization.

43989189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 976 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 72.

Adding to 43989189696 its product of digits (181398528), we get a square (44170588224 = 2101682).

The spelling of 43989189696 in words is "forty-three billion, nine hundred eighty-nine million, one hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 971 972 1296 1458 1728 1942 1944 2592 2913 2916 3884 3888 5184 5826 5832 7768 7776 8739 11652 11664 15536 15552 17478 23304 23328 26217 31072 34956 46608 46656 52434 62144 69912 78651 93216 104868 139824 157302 186432 209736 235953 279648 314604 419472 471906 559296 629208 707859 838944 942841 943812 1258416 1415718 1677888 1885682 1887624 2516832 2828523 2831436 3771364 3775248 5033664 5657046 5662872 7542728 7550496 8485569 11314092 11325744 15085456 15100992 16971138 22628184 22651488 25456707 30170912 33942276 45256368 45302976 50913414 60341824 67884552 76370121 90512736 101826828 135769104 152740242 181025472 203653656 229110363 271538208 305480484 407307312 458220726 543076416 610960968 687331089 814614624 916441452 1221921936 1374662178 1629229248 1832882904 2443843872 2749324356 3665765808 4887687744 5498648712 7331531616 10997297424 14663063232 21994594848 43989189696