Search a number
-
+
550110033135 = 325139724234001
BaseRepresentation
bin10000000000101010001…
…11001111010011101111
31221120221010002010221200
420000111013033103233
533003111132030020
61100414515100543
754513145062405
oct10002507172357
91846833063850
10550110033135
111a2333855023
128a7468a1753
133cb4b934c60
141c8a83d7475
15e499eb0590
hex80151cf4ef

550110033135 has 96 divisors (see below), whose sum is σ = 1038145949568. Its totient is φ = 267853824000.

The previous prime is 550110033133. The next prime is 550110033149. The reversal of 550110033135 is 531330011055.

550110033135 is a `hidden beast` number, since 550 + 1 + 100 + 3 + 3 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 550110033135 - 21 = 550110033133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 550110033099 and 550110033108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550110033133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137491135 + ... + 137495135.

It is an arithmetic number, because the mean of its divisors is an integer number (10814020308).

Almost surely, 2550110033135 is an apocalyptic number.

550110033135 is a deficient number, since it is larger than the sum of its proper divisors (488035916433).

550110033135 is a wasteful number, since it uses less digits than its factorization.

550110033135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 6542 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The spelling of 550110033135 in words is "five hundred fifty billion, one hundred ten million, thirty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 97 117 195 291 485 585 873 1261 1455 2423 3783 4001 4365 6305 7269 11349 12003 12115 18915 20005 21807 31499 36009 36345 52013 56745 60015 94497 109035 156039 157495 180045 235031 260065 283491 388097 468117 472485 705093 780195 1164291 1175155 1417455 1940485 2115279 2340585 3055403 3492873 3525465 5045261 5821455 9166209 9694423 10576395 15135783 15277015 17464365 25226305 27498627 29083269 45407349 45831045 48472115 75678915 87249807 126027499 137493135 145416345 227036745 378082497 436249035 630137495 940359031 1134247491 1890412485 2821077093 4701795155 5671237455 8463231279 12224667403 14105385465 36674002209 42316156395 61123337015 110022006627 183370011045 550110033135