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18241753344 = 28330777369
BaseRepresentation
bin10000111111010010…
…110001000100000000
31202002022002002021020
4100333102301010000
5244324342101334
612214040025440
71214022226233
oct207722610400
952068062236
1018241753344
117810aa3311
123651162280
1319493464b9
14c5099b41a
1571b70de49
hex43f4b1100

18241753344 has 72 divisors (see below), whose sum is σ = 48708438240. Its totient is φ = 6060699648.

The previous prime is 18241753291. The next prime is 18241753349. The reversal of 18241753344 is 44335714281.

It is a junction number, because it is equal to n+sod(n) for n = 18241753296 and 18241753305.

It is not an unprimeable number, because it can be changed into a prime (18241753349) by changing a digit.

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, 197092 + ... + 274460.

Almost surely, 218241753344 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 18241753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24354219120).

18241753344 is an abundant number, since it is smaller than the sum of its proper divisors (30466684896).

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

18241753344 is an equidigital number, since it uses as much as digits as its factorization.

18241753344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77695 (or 77681 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 18241753344 in words is "eighteen billion, two hundred forty-one million, seven hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 307 384 614 768 921 1228 1842 2456 3684 4912 7368 9824 14736 19648 29472 39296 58944 77369 78592 117888 154738 232107 235776 309476 464214 618952 928428 1237904 1856856 2475808 3713712 4951616 7427424 9903232 14854848 19806464 23752283 29709696 47504566 59419392 71256849 95009132 142513698 190018264 285027396 380036528 570054792 760073056 1140109584 1520146112 2280219168 3040292224 4560438336 6080584448 9120876672 18241753344