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43383738384 = 2432726148489
BaseRepresentation
bin101000011001110111…
…110101000000010000
311010222111011020221100
4220121313311000100
51202322214112014
631532532024400
73064042456200
oct503167650020
9133874136840
1043383738384
1117442a97848
1284a9162100
13412510371c
142157b44400
1511ddacb009
hexa19df5010

43383738384 has 90 divisors (see below), whose sum is σ = 141236963790. Its totient is φ = 12395351808.

The previous prime is 43383738383. The next prime is 43383738389. The reversal of 43383738384 is 48383738334.

43383738384 is a `hidden beast` number, since 43 + 383 + 73 + 83 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38405024784 + 4978713600 = 195972^2 + 70560^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 43383738384.

It is not an unprimeable number, because it can be changed into a prime (43383738383) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3067189 + ... + 3081300.

Almost surely, 243383738384 is an apocalyptic number.

It is an amenable number.

43383738384 is an abundant number, since it is smaller than the sum of its proper divisors (97853225406).

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

43383738384 is a wasteful number, since it uses less digits than its factorization.

43383738384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148517 (or 6148501 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 43383738384 in words is "forty-three billion, three hundred eighty-three million, seven hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 6148489 12296978 18445467 24593956 36890934 43039423 49187912 55336401 73781868 86078846 98375824 110672802 129118269 147563736 172157692 221345604 258236538 295127472 301275961 344315384 387354807 442691208 516473076 602551922 688630768 774709614 885382416 903827883 1032946152 1205103844 1549419228 1807655766 2065892304 2410207688 2711483649 3098838456 3615311532 4820415376 5422967298 6197676912 7230623064 10845934596 14461246128 21691869192 43383738384