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13751280384 = 283158311311
BaseRepresentation
bin11001100111010001…
…11110001100000000
31022111100110102101220
430303220332030000
5211130311433014
610152305355040
7664524645312
oct146350761400
938440412356
1013751280384
11591726a536
1227b9338a80
1313b1c271ca
149464517b2
155573a36a9
hex333a3e300

13751280384 has 72 divisors (see below), whose sum is σ = 36624817152. Its totient is φ = 4580459520.

The previous prime is 13751280383. The next prime is 13751280409. The reversal of 13751280384 is 48308215731.

It is not an unprimeable number, because it can be changed into a prime (13751280383) 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, 1210089 + ... + 1221399.

It is an arithmetic number, because the mean of its divisors is an integer number (508678016).

Almost surely, 213751280384 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 13751280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18312408576).

13751280384 is an abundant number, since it is smaller than the sum of its proper divisors (22873536768).

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

13751280384 is a wasteful number, since it uses less digits than its factorization.

13751280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12913 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 13751280384 in words is "thirteen billion, seven hundred fifty-one million, two hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1583 3166 4749 6332 9498 11311 12664 18996 22622 25328 33933 37992 45244 50656 67866 75984 90488 101312 135732 151968 180976 202624 271464 303936 361952 405248 542928 607872 723904 1085856 1215744 1447808 2171712 2895616 4343424 8686848 17905313 35810626 53715939 71621252 107431878 143242504 214863756 286485008 429727512 572970016 859455024 1145940032 1718910048 2291880064 3437820096 4583760128 6875640192 13751280384