Search a number
-
+
5175904314 = 2372314833613
BaseRepresentation
bin1001101001000001…
…00000100000111010
3111100201101011220210
410310200200200322
541100012414224
62213333331550
7242156314020
oct46440404072
914321334823
105175904314
112216732579
121005496bb6
1364642a499
143715b0710
15204601429
hex13482083a

5175904314 has 64 divisors (see below), whose sum is σ = 12356757504. Its totient is φ = 1413187776.

The previous prime is 5175904297. The next prime is 5175904333. The reversal of 5175904314 is 4134095715.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430772 + ... + 1434384.

It is an arithmetic number, because the mean of its divisors is an integer number (193074336).

Almost surely, 25175904314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5175904314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178378752).

5175904314 is an abundant number, since it is smaller than the sum of its proper divisors (7180853190).

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

5175904314 is a wasteful number, since it uses less digits than its factorization.

5175904314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5175904314 is about 71943.7579919203. The cubic root of 5175904314 is about 1729.7980890800.

The spelling of 5175904314 in words is "five billion, one hundred seventy-five million, nine hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 1483 2966 3613 4449 7226 8898 10381 10839 20762 21678 25291 31143 34109 50582 62286 68218 75873 83099 102327 151746 166198 204654 238763 249297 477526 498594 581693 716289 1163386 1432578 1745079 3490158 5358079 10716158 16074237 32148474 37506553 75013106 112519659 123235817 225039318 246471634 369707451 739414902 862650719 1725301438 2587952157 5175904314