Search a number
-
+
5605501006060 = 22519294631098631
BaseRepresentation
bin101000110010010000111…
…1001010111000011101100
3201211212210000002020120121
41101210201321113003230
51213320031224143220
615531044232254324
71115661353251534
oct121444171270354
921755700066517
105605501006060
11187130920135a
12766472b413a4
1331879a5c8337
141554444664c4
159ac2a4abeaa
hex51921e570ec

5605501006060 has 96 divisors (see below), whose sum is σ = 12846084249600. Its totient is φ = 2046510385920.

The previous prime is 5605501006057. The next prime is 5605501006099. The reversal of 5605501006060 is 606001055065.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4552945 + ... + 5651575.

It is an arithmetic number, because the mean of its divisors is an integer number (133813377600).

Almost surely, 25605501006060 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 5605501006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423042124800).

5605501006060 is an abundant number, since it is smaller than the sum of its proper divisors (7240583243540).

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

5605501006060 is a wasteful number, since it uses less digits than its factorization.

5605501006060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099151 (or 1099149 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 5605501006060 in words is "five trillion, six hundred five billion, five hundred one million, six thousand, sixty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 463 551 580 926 1102 1852 2204 2315 2755 4630 5510 8797 9260 11020 13427 17594 26854 35188 43985 53708 67135 87970 134270 175940 255113 268540 510226 1020452 1098631 1275565 2197262 2551130 4394524 5102260 5493155 10986310 20873989 21972620 31860299 41747978 63720598 83495956 104369945 127441196 159301495 208739890 318602990 417479780 508666153 605345681 637205980 1017332306 1210691362 2034664612 2421382724 2543330765 3026728405 5086661530 6053456810 9664656907 10173323060 12106913620 14751318437 19329313814 29502636874 38658627628 48323284535 59005273748 73756592185 96646569070 147513184370 193293138140 280275050303 295026368740 560550100606 1121100201212 1401375251515 2802750503030 5605501006060