Search a number
-
+
13004042643 = 3319197912809
BaseRepresentation
bin11000001110001100…
…11111000110010011
31020120021101210221000
430013012133012103
5203113013331033
65550213433043
7640152352524
oct140706370623
936507353830
1013004042643
115573496789
12262b03b783
1312c3188ab7
148b50dc84b
1551199ea13
hex30719f193

13004042643 has 32 divisors (see below), whose sum is σ = 20291040000. Its totient is φ = 8208288576.

The previous prime is 13004042621. The next prime is 13004042651. The reversal of 13004042643 is 34624040031.

13004042643 is a `hidden beast` number, since 13 + 0 + 0 + 4 + 0 + 4 + 2 + 643 = 666.

13004042643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13004042643 - 222 = 12999848339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13004044643) 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, 1008823 + ... + 1021631.

It is an arithmetic number, because the mean of its divisors is an integer number (634095000).

Almost surely, 213004042643 is an apocalyptic number.

13004042643 is a deficient number, since it is larger than the sum of its proper divisors (7286997357).

13004042643 is a wasteful number, since it uses less digits than its factorization.

13004042643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14816 (or 14810 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13004042643 its reverse (34624040031), we get a palindrome (47628082674).

The spelling of 13004042643 in words is "thirteen billion, four million, forty-two thousand, six hundred forty-three".

Divisors: 1 3 9 19 27 57 171 513 1979 5937 12809 17811 37601 38427 53433 112803 115281 243371 338409 345843 730113 1015227 2190339 6571017 25349011 76047033 228141099 481631209 684423297 1444893627 4334680881 13004042643