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13897004208 = 24310719913597
BaseRepresentation
bin11001111000101001…
…10111010010110000
31022212111122221220120
430330110313102300
5211430113113313
610214553010240
71001244405153
oct147424672260
938774587816
1013897004208
115991550a4a
12283a0b3980
131406189919
1495b945c9a
1556508ad23
hex33c5374b0

13897004208 has 80 divisors (see below), whose sum is σ = 36420883200. Its totient is φ = 4565645568.

The previous prime is 13897004207. The next prime is 13897004239. The reversal of 13897004208 is 80240079831.

13897004208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13897004208.

It is not an unprimeable number, because it can be changed into a prime (13897004207) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1015266 + ... + 1028862.

It is an arithmetic number, because the mean of its divisors is an integer number (455261040).

Almost surely, 213897004208 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 13897004208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18210441600).

13897004208 is an abundant number, since it is smaller than the sum of its proper divisors (22523878992).

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

13897004208 is a wasteful number, since it uses less digits than its factorization.

13897004208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13914 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 13897004208 in words is "thirteen billion, eight hundred ninety-seven million, four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 199 214 321 398 428 597 642 796 856 1194 1284 1592 1712 2388 2568 3184 4776 5136 9552 13597 21293 27194 40791 42586 54388 63879 81582 85172 108776 127758 163164 170344 217552 255516 326328 340688 511032 652656 1022064 1454879 2705803 2909758 4364637 5411606 5819516 8117409 8729274 10823212 11639032 16234818 17458548 21646424 23278064 32469636 34917096 43292848 64939272 69834192 129878544 289520921 579041842 868562763 1158083684 1737125526 2316167368 3474251052 4632334736 6948502104 13897004208