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13847221216 = 254736725087
BaseRepresentation
bin11001110010101101…
…11101001111100000
31022202000222201111001
430321112331033200
5211324342034331
610210014001344
71000101303223
oct147126751740
938660881431
1013847221216
115966439284
1228254a6254
1313c8a7922a
149550a75ba
15560a05561
hex3395bd3e0

13847221216 has 48 divisors (see below), whose sum is σ = 27918729216. Its totient is φ = 6757566336.

The previous prime is 13847221207. The next prime is 13847221217. The reversal of 13847221216 is 61212274831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13847221217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539425 + ... + 564511.

It is an arithmetic number, because the mean of its divisors is an integer number (581640192).

Almost surely, 213847221216 is an apocalyptic number.

13847221216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13847221216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13959364608).

13847221216 is an abundant number, since it is smaller than the sum of its proper divisors (14071508000).

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

13847221216 is a wasteful number, since it uses less digits than its factorization.

13847221216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25511 (or 25503 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The spelling of 13847221216 in words is "thirteen billion, eight hundred forty-seven million, two hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 47 94 188 367 376 734 752 1468 1504 2936 5872 11744 17249 25087 34498 50174 68996 100348 137992 200696 275984 401392 551968 802784 1179089 2358178 4716356 9206929 9432712 18413858 18865424 36827716 37730848 73655432 147310864 294621728 432725663 865451326 1730902652 3461805304 6923610608 13847221216