Search a number
-
+
500400062072405 = 511176110980491387
BaseRepresentation
bin111000111000111000111011…
…1111100100000011001010101
32102121202210000200221121202022
41301301301313330200121111
51011042023311342304110
64532132340500222525
7210254466010443665
oct16161616774403125
92377683020847668
10500400062072405
11135496524701080
1248158a7439aa45
131862a6a5b26361
148b7d6c697a1a5
153ccb8499a8755
hex1c71c77f20655

500400062072405 has 64 divisors (see below), whose sum is σ = 711440840943360. Its totient is φ = 333813876019200.

The previous prime is 500400062072401. The next prime is 500400062072447. The reversal of 500400062072405 is 504270260004005.

It is not a de Polignac number, because 500400062072405 - 22 = 500400062072401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500400062072401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34028879 + ... + 46462508.

It is an arithmetic number, because the mean of its divisors is an integer number (11116263139740).

Almost surely, 2500400062072405 is an apocalyptic number.

500400062072405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

500400062072405 is a deficient number, since it is larger than the sum of its proper divisors (211040778870955).

500400062072405 is a wasteful number, since it uses less digits than its factorization.

500400062072405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80491590.

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 500400062072405 in words is "five hundred trillion, four hundred billion, sixty-two million, seventy-two thousand, four hundred five".

Divisors: 1 5 11 17 55 61 85 109 187 305 545 671 935 1037 1199 1853 3355 5185 5995 6649 9265 11407 20383 33245 57035 73139 101915 113033 365695 565165 1243363 6216815 80491387 402456935 885405257 1368353579 4427026285 4909974607 6841767895 8773561183 15051889369 24549873035 43867805915 54009720677 75259446845 83469568319 96509173013 149150540111 270048603385 417347841595 482545865065 535187232163 745752700555 918165251509 1640655941221 2675936160815 4590826257545 5887059553793 8203279706105 9098182946771 29435297768965 45490914733855 100080012414481 500400062072405