Search a number
-
+
507364510125141 = 3431972083059323
BaseRepresentation
bin111001101011100100000000…
…1011001011100110001010101
32110112102120111001122112220000
41303113020001121130301111
51013000130004043001031
64555024012132201513
7211603606352236164
oct16327100131346125
92415376431575800
10507364510125141
11137731098000219
1248aa2783a69299
1318a14363a883a6
148d4080526b3db
153d9caade4c3e6
hex1cd720165cc55

507364510125141 has 40 divisors (see below), whose sum is σ = 790429358847744. Its totient is φ = 323957385757440.

The previous prime is 507364510125131. The next prime is 507364510125169. The reversal of 507364510125141 is 141521015463705.

507364510125141 is a `hidden beast` number, since 5 + 0 + 7 + 3 + 6 + 4 + 510 + 125 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 507364510125141 - 27 = 507364510125013 is a prime.

It is a super-2 number, since 2×5073645101251412 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507364510125131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1041286095 + ... + 1041773228.

Almost surely, 2507364510125141 is an apocalyptic number.

It is an amenable number.

507364510125141 is a deficient number, since it is larger than the sum of its proper divisors (283064848722603).

507364510125141 is a wasteful number, since it uses less digits than its factorization.

507364510125141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083059463 (or 2083059454 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

Adding to 507364510125141 its reverse (141521015463705), we get a palindrome (648885525588846).

The spelling of 507364510125141 in words is "five hundred seven trillion, three hundred sixty-four billion, five hundred ten million, one hundred twenty-five thousand, one hundred forty-one".

Divisors: 1 3 9 27 31 81 93 97 279 291 837 873 2511 2619 3007 7857 9021 27063 81189 243567 2083059323 6249177969 18747533907 56242601721 64574839013 168727805163 193724517039 202056754331 581173551117 606170262993 1743520653351 1818510788979 5230561960053 5455532366937 6263759384261 16366597100811 18791278152783 56373834458349 169121503375047 507364510125141