Search a number
-
+
537053850237125 = 531317149521250433
BaseRepresentation
bin111101000011100101001011…
…1111101111111100011000101
32121102112211212012221212022202
41322013022113331333203011
51030343042241130042000
65142115044404004245
7221056601030312234
oct17207122775774305
92542484765855282
10537053850237125
11146138293548371
1250298773990685
131a088c64a749a0
14968978b85ab1b
15421500a7abdd5
hex1e87297f7f8c5

537053850237125 has 128 divisors (see below), whose sum is σ = 770868308246400. Its totient is φ = 370046337024000.

The previous prime is 537053850237119. The next prime is 537053850237143. The reversal of 537053850237125 is 521732058350735.

It can be written as a sum of positive squares in 64 ways, for example, as 336332932141924 + 200720918095201 = 18339382^2 + 14167601^2 .

It is a de Polignac number, because none of the positive numbers 2k-537053850237125 is a prime.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2144375909 + ... + 2144626341.

It is an arithmetic number, because the mean of its divisors is an integer number (6022408658175).

Almost surely, 2537053850237125 is an apocalyptic number.

It is an amenable number.

537053850237125 is a deficient number, since it is larger than the sum of its proper divisors (233814458009275).

537053850237125 is a wasteful number, since it uses less digits than its factorization.

537053850237125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251148 (or 251138 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 56.

The spelling of 537053850237125 in words is "five hundred thirty-seven trillion, fifty-three billion, eight hundred fifty million, two hundred thirty-seven thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 125 149 221 325 425 521 745 1105 1625 1937 2125 2533 2605 3725 5525 6773 8857 9685 12665 13025 18625 27625 32929 33865 44285 48425 63325 65125 77629 115141 164645 169325 221425 242125 250433 316625 388145 575705 823225 846625 1009177 1107125 1252165 1319693 1940725 2878525 3255629 4116125 4257361 5045885 6260825 6598465 9703625 14392625 16278145 17156009 21286805 25229425 31304125 32992325 37314517 55345693 81390725 85780045 106434025 126147125 130475593 164961625 186572585 276728465 406953625 428900225 485088721 532170125 634346789 652377965 932862925 1383642325 1696182709 2144501125 2218085081 2425443605 3171733945 3261889825 4664314625 6918211625 8246508257 8480913545 11090425405 12127218025 15858669725 16309449125 19440863357 28835106053 41232541285 42404567725 55452127025 60636090125 79293348625 97204316785 144175530265 206162706425 212022838625 252731223641 277260635125 330494677069 486021583925 720877651325 1030813532125 1263656118205 1652473385345 2430107919625 3604388256625 4296430801897 6318280591025 8262366926725 21482154009485 31591402955125 41311834633625 107410770047425 537053850237125