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13859245824 = 283163110711
BaseRepresentation
bin11001110100001001…
…10100111100000000
31022202212121122010220
430322010310330000
5211340431331244
610211123423040
71000305434334
oct147204647400
938685548126
1013859245824
115972201576
122829524a80
1313cb3c9498
149569177c4
15561acd319
hex33a134f00

13859245824 has 72 divisors (see below), whose sum is σ = 37112433792. Its totient is φ = 4591365120.

The previous prime is 13859245823. The next prime is 13859245853. The reversal of 13859245824 is 42854295831.

It is a super-2 number, since 2×138592458242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13859245823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69829 + ... + 180539.

Almost surely, 213859245824 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 13859245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556216896).

13859245824 is an abundant number, since it is smaller than the sum of its proper divisors (23253187968).

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

13859245824 is a wasteful number, since it uses less digits than its factorization.

13859245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110893 (or 110879 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 13859245824 in words is "thirteen billion, eight hundred fifty-nine million, two hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 489 652 768 978 1304 1956 2608 3912 5216 7824 10432 15648 20864 31296 41728 62592 110711 125184 221422 332133 442844 664266 885688 1328532 1771376 2657064 3542752 5314128 7085504 10628256 14171008 18045893 21256512 28342016 36091786 42513024 54137679 72183572 85026048 108275358 144367144 216550716 288734288 433101432 577468576 866202864 1154937152 1732405728 2309874304 3464811456 4619748608 6929622912 13859245824