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13245641200 = 24521117317401
BaseRepresentation
bin11000101011000000…
…00111000111110000
31021012010000021211201
430111200013013300
5204111341004300
610030204020544
7646145043511
oct142540070760
937163007751
1013245641200
115687901310
122697b31754
13133124941c
148d922ca08
15527cc466a
hex3158071f0

13245641200 has 120 divisors (see below), whose sum is σ = 34918296336. Its totient is φ = 4788480000.

The previous prime is 13245641197. The next prime is 13245641207. The reversal of 13245641200 is 214654231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13245641207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752500 + ... + 769900.

Almost surely, 213245641200 is an apocalyptic number.

13245641200 is a gapful number since it is divisible by the number (10) 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 13245641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459148168).

13245641200 is an abundant number, since it is smaller than the sum of its proper divisors (21672655136).

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

13245641200 is a wasteful number, since it uses less digits than its factorization.

13245641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17603 (or 17592 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 13245641200 in words is "thirteen billion, two hundred forty-five million, six hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 173 176 200 220 275 346 400 440 550 692 865 880 1100 1384 1730 1903 2200 2768 3460 3806 4325 4400 6920 7612 8650 9515 13840 15224 17300 17401 19030 30448 34600 34802 38060 47575 69200 69604 76120 87005 95150 139208 152240 174010 190300 191411 278416 348020 380600 382822 435025 696040 761200 765644 870050 957055 1392080 1531288 1740100 1914110 3010373 3062576 3480200 3828220 4785275 6020746 6960400 7656440 9570550 12041492 15051865 15312880 19141100 24082984 30103730 33114103 38282200 48165968 60207460 66228206 75259325 76564400 120414920 132456412 150518650 165570515 240829840 264912824 301037300 331141030 529825648 602074600 662282060 827852575 1204149200 1324564120 1655705150 2649128240 3311410300 6622820600 13245641200