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13320510644 = 227397101991
BaseRepresentation
bin11000110011111011…
…01101110010110100
31021101022220001102002
430121331231302310
5204240022320034
610041440434432
7651044321000
oct143175556264
937338801362
1013320510644
115716098891
1226b9018a18
13134390147c
1490515b700
1552e662e7e
hex319f6dcb4

13320510644 has 96 divisors (see below), whose sum is σ = 27764889600. Its totient is φ = 5588352000.

The previous prime is 13320510641. The next prime is 13320510689. The reversal of 13320510644 is 44601502331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320510641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13440989 + ... + 13441979.

It is an arithmetic number, because the mean of its divisors is an integer number (289217600).

Almost surely, 213320510644 is an apocalyptic number.

13320510644 is a gapful number since it is divisible by the number (14) 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 13320510644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882444800).

13320510644 is an abundant number, since it is smaller than the sum of its proper divisors (14444378956).

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

13320510644 is a wasteful number, since it uses less digits than its factorization.

13320510644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 13320510644 in words is "thirteen billion, three hundred twenty million, five hundred ten thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 97 98 101 194 196 202 343 388 404 679 686 707 991 1358 1372 1414 1982 2716 2828 3964 4753 4949 6937 9506 9797 9898 13874 19012 19594 19796 27748 33271 34643 39188 48559 66542 68579 69286 96127 97118 100091 133084 137158 138572 192254 194236 200182 274316 339913 384508 400364 480053 672889 679826 700637 960106 1345778 1359652 1401274 1920212 2691556 2802548 3360371 4710223 4904459 6720742 9420446 9708827 9808918 13441484 18840892 19417654 19617836 32971561 34331213 38835308 65943122 67961789 68662426 131886244 135923578 137324852 271847156 475732523 951465046 1902930092 3330127661 6660255322 13320510644