Search a number
-
+
514406450664165 = 351721071109005057
BaseRepresentation
bin111010011110110011001010…
…1110000110001001011100101
32111110100202222000010122212110
41310331212111300301023211
51014411013402332223130
65022015021105111233
7213231432250221363
oct16475462560611345
92443322860118773
10514406450664165
111399a6606940264
124983b4bb628519
13191054214c1ac7
14910559568c633
153e70d5b69cab0
hex1d3d995c312e5

514406450664165 has 48 divisors (see below), whose sum is σ = 882484120873152. Its totient is φ = 255798670196736.

The previous prime is 514406450664137. The next prime is 514406450664187. The reversal of 514406450664165 is 561466054604415.

It is not a de Polignac number, because 514406450664165 - 26 = 514406450664101 is a prime.

It is a super-2 number, since 2×5144064506641652 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554038684 + ... + 554966373.

It is an arithmetic number, because the mean of its divisors is an integer number (18385085851524).

Almost surely, 2514406450664165 is an apocalyptic number.

It is an amenable number.

514406450664165 is a deficient number, since it is larger than the sum of its proper divisors (368077670208987).

514406450664165 is a wasteful number, since it uses less digits than its factorization.

514406450664165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109005206 (or 1109005189 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 57.

The spelling of 514406450664165 in words is "five hundred fourteen trillion, four hundred six billion, four hundred fifty million, six hundred sixty-four thousand, one hundred sixty-five".

Divisors: 1 3 5 15 17 51 85 107 255 289 321 535 867 1445 1605 1819 4335 5457 9095 27285 30923 92769 154615 463845 1109005057 3327015171 5545025285 16635075855 18853085969 56559257907 94265429845 118663541099 282796289535 320502461473 355990623297 593317705495 961507384419 1602512307365 1779953116485 2017280198683 4807536922095 6051840596049 10086400993415 30259202980245 34293763377611 102881290132833 171468816888055 514406450664165