Search a number
-
+
52604503438806 = 23311163543311473
BaseRepresentation
bin10111111010111111100001…
…01111011011010111010110
320220020221102021212120021000
423331133300233123113112
523343333010340020211
6303514101505004130
714036356430366334
oct1375376057332726
9226227367776230
1052604503438806
1115841498881720
125a97131923646
132347777923627
14cdc1004a0b54
1561356d027656
hex2fd7f0bdb5d6

52604503438806 has 64 divisors (see below), whose sum is σ = 128308437699840. Its totient is φ = 15842962523520.

The previous prime is 52604503438801. The next prime is 52604503438873. The reversal of 52604503438806 is 60883430540625.

52604503438806 is a `hidden beast` number, since 5 + 26 + 0 + 4 + 503 + 4 + 38 + 80 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52604503438801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271558915 + ... + 271752558.

It is an arithmetic number, because the mean of its divisors is an integer number (2004819339060).

Almost surely, 252604503438806 is an apocalyptic number.

52604503438806 is an abundant number, since it is smaller than the sum of its proper divisors (75703934261034).

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

52604503438806 is a wasteful number, since it uses less digits than its factorization.

52604503438806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543311658 (or 543311652 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 52604503438806 in words is "fifty-two trillion, six hundred four billion, five hundred three million, four hundred thirty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 198 297 326 489 594 978 1467 1793 2934 3586 4401 5379 8802 10758 16137 32274 48411 96822 543311473 1086622946 1629934419 3259868838 4889803257 5976426203 9779606514 11952852406 14669409771 17929278609 29338819542 35858557218 53787835827 88559770099 107575671654 161363507481 177119540198 265679310297 322727014962 531358620594 797037930891 974157471089 1594075861782 1948314942178 2391113792673 2922472413267 4782227585346 5844944826534 8767417239801 17534834479602 26302251719403 52604503438806