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13887885344 = 2517109323357
BaseRepresentation
bin11001110111100100…
…00101000000100000
31022211212111200011212
430323302011000200
5211420244312334
610214025325252
71001104035434
oct147362050040
938755450155
1013887885344
1159873928a3
122837036828
131404316148
1495a6509c4
15564388ece
hex33bc85020

13887885344 has 48 divisors (see below), whose sum is σ = 28977841368. Its totient is φ = 6529216512.

The previous prime is 13887885329. The next prime is 13887885367. The reversal of 13887885344 is 44358878831.

It can be written as a sum of positive squares in 4 ways, for example, as 13000560400 + 887324944 = 114020^2 + 29788^2 .

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, 582914 + ... + 606270.

Almost surely, 213887885344 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 13887885344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488920684).

13887885344 is an abundant number, since it is smaller than the sum of its proper divisors (15089956024).

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

13887885344 is a wasteful number, since it uses less digits than its factorization.

13887885344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24477 (or 24469 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 59.

The spelling of 13887885344 in words is "thirteen billion, eight hundred eighty-seven million, eight hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1093 2186 4372 8744 17488 18581 23357 34976 37162 46714 74324 93428 148648 186856 297296 373712 397069 594592 747424 794138 1588276 3176552 6353104 12706208 25529201 51058402 102116804 204233608 408467216 433996417 816934432 867992834 1735985668 3471971336 6943942672 13887885344