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43784968448 = 281361215681
BaseRepresentation
bin101000110001110010…
…011001100100000000
311012000110010212010002
4220301302121210000
51204132422442243
632040423455132
73110014043144
oct506162314400
9135013125102
1043784968448
1117629522941
12859b5b74a8
13418a285b70
142195149224
151213e33eb8
hexa31c99900

43784968448 has 72 divisors (see below), whose sum is σ = 95665319736. Its totient is φ = 19877068800.

The previous prime is 43784968427. The next prime is 43784968481. The reversal of 43784968448 is 84486948734.

It can be written as a sum of positive squares in 4 ways, for example, as 1822265344 + 41962703104 = 42688^2 + 204848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95168 + ... + 310848.

Almost surely, 243784968448 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 43784968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832659868).

43784968448 is an abundant number, since it is smaller than the sum of its proper divisors (51880351288).

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

43784968448 is a wasteful number, since it uses less digits than its factorization.

43784968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215771 (or 215757 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 65.

The spelling of 43784968448 in words is "forty-three billion, seven hundred eighty-four million, nine hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 256 416 488 793 832 976 1586 1664 1952 3172 3328 3904 6344 7808 12688 15616 25376 50752 101504 203008 215681 431362 862724 1725448 2803853 3450896 5607706 6901792 11215412 13156541 13803584 22430824 26313082 27607168 44861648 52626164 55214336 89723296 105252328 171035033 179446592 210504656 342070066 358893184 421009312 684140132 717786368 842018624 1368280264 1684037248 2736560528 3368074496 5473121056 10946242112 21892484224 43784968448