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13847023872 = 283411173571
BaseRepresentation
bin11001110010101100…
…01101000100000000
31022202000121200210000
430321112031010000
5211324314230442
610210005440000
71000066521663
oct147126150400
938660550700
1013847023872
115966313a90
122825410000
1313c8a0a466
149550556da
155609b6d4c
hex33958d100

13847023872 has 360 divisors, whose sum is σ = 47705831712. Its totient is φ = 3948134400.

The previous prime is 13847023843. The next prime is 13847023943. The reversal of 13847023872 is 27832074831.

It is a super-2 number, since 2×138470238722 (a number of 21 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 3875847 + ... + 3879417.

Almost surely, 213847023872 is an apocalyptic number.

13847023872 is a gapful number since it is divisible by the number (12) 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 13847023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852915856).

13847023872 is an abundant number, since it is smaller than the sum of its proper divisors (33858807840).

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

13847023872 is a wasteful number, since it uses less digits than its factorization.

13847023872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13847023872 in words is "thirteen billion, eight hundred forty-seven million, twenty-three thousand, eight hundred seventy-two".