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13671344000 = 2753854459
BaseRepresentation
bin11001011101110000…
…00010011110000000
31022021210001020022002
430232320002132000
5210444331002000
610140332203132
7662534335526
oct145670023600
938253036262
1013671344000
115886132106
1227966094a8
13139b4b9a82
149399a4316
155503638d5
hex32ee02780

13671344000 has 64 divisors (see below), whose sum is σ = 33990418800. Its totient is φ = 5468531200.

The previous prime is 13671343997. The next prime is 13671344009. The reversal of 13671344000 is 44317631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13671344009) 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, 411230 + ... + 443229.

Almost surely, 213671344000 is an apocalyptic number.

13671344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13671344000 is an abundant number, since it is smaller than the sum of its proper divisors (20319074800).

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

13671344000 is an frugal number, since it uses more digits than its factorization.

13671344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854488 (or 854466 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 13671344000 in words is "thirteen billion, six hundred seventy-one million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 854459 1708918 3417836 4272295 6835672 8544590 13671344 17089180 21361475 27342688 34178360 42722950 54685376 68356720 85445900 106807375 109370752 136713440 170891800 213614750 273426880 341783600 427229500 546853760 683567200 854459000 1367134400 1708918000 2734268800 3417836000 6835672000 13671344000