Search a number
-
+
13245195380 = 22517238919031
BaseRepresentation
bin11000101010111100…
…11010010001110100
31021012002011122021212
430111132122101310
5204111232223010
610030150300552
7646141205654
oct142536322164
937162148255
1013245195380
11568762736a
122697957758
131331121521
148d9154364
15527c37505
hex31579a474

13245195380 has 96 divisors (see below), whose sum is σ = 31078494720. Its totient is φ = 4715786240.

The previous prime is 13245195373. The next prime is 13245195389. The reversal of 13245195380 is 8359154231.

13245195380 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 not an unprimeable number, because it can be changed into a prime (13245195389) 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 31 ways as a sum of consecutive naturals, for example, 686465 + ... + 705495.

It is an arithmetic number, because the mean of its divisors is an integer number (323734320).

Almost surely, 213245195380 is an apocalyptic number.

13245195380 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 13245195380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539247360).

13245195380 is an abundant number, since it is smaller than the sum of its proper divisors (17833299340).

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

13245195380 is a wasteful number, since it uses less digits than its factorization.

13245195380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19169 (or 19167 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 13245195380 in words is "thirteen billion, two hundred forty-five million, one hundred ninety-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 89 92 115 170 178 230 340 356 391 445 460 782 890 1513 1564 1780 1955 2047 3026 3910 4094 6052 7565 7820 8188 10235 15130 19031 20470 30260 34799 38062 40940 69598 76124 95155 139196 173995 190310 323527 347990 380620 437713 647054 695980 875426 1294108 1617635 1693759 1750852 2188565 3235270 3387518 4377130 6470540 6775036 7441121 8468795 8754260 14882242 16937590 28793903 29764484 33875180 37205605 38956457 57587806 74411210 77912914 115175612 143969515 148822420 155825828 194782285 287939030 389564570 575878060 662259769 779129140 1324519538 2649039076 3311298845 6622597690 13245195380