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13071280398 = 2311832419901
BaseRepresentation
bin11000010110001101…
…11110100100001110
31020201221220211210020
430023012332210032
5203232221433043
610001014523010
7641630023131
oct141306764416
936657824706
1013071280398
1155a8440480
122649666466
13130409b257
148c0002218
15517831e83
hex30b1be90e

13071280398 has 64 divisors (see below), whose sum is σ = 28985451264. Its totient is φ = 3896640000.

The previous prime is 13071280381. The next prime is 13071280429. The reversal of 13071280398 is 89308217031.

13071280398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315248 + ... + 1325148.

It is an arithmetic number, because the mean of its divisors is an integer number (452897676).

Almost surely, 213071280398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13071280398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492725632).

13071280398 is an abundant number, since it is smaller than the sum of its proper divisors (15914170866).

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

13071280398 is a wasteful number, since it uses less digits than its factorization.

13071280398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10241.

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 13071280398 in words is "thirteen billion, seventy-one million, two hundred eighty thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 83 166 241 249 482 498 723 913 1446 1826 2651 2739 5302 5478 7953 9901 15906 19802 20003 29703 40006 59406 60009 108911 120018 217822 220033 326733 440066 653466 660099 821783 1320198 1643566 2386141 2465349 4772282 4930698 7158423 9039613 14316846 18079226 26247551 27118839 52495102 54237678 78742653 157485306 198049703 396099406 594149109 1188298218 2178546733 4357093466 6535640199 13071280398