Search a number
-
+
465055642345023 = 32594861180170953
BaseRepresentation
bin110100110111101110011010…
…0010111001101111000111111
32020222121212220022122202102200
41221233130310113031320333
5441423432423420020043
64325031340202322543
7166646106231645402
oct15157346427157077
92228555808582380
10465055642345023
111251a9a99145674
12441aaa957b9453
1316c65735b926c2
1482bab55565d39
1538b72702d37d3
hex1a6f7345cde3f

465055642345023 has 24 divisors (see below), whose sum is σ = 683273119111440. Its totient is φ = 304719527698560.

The previous prime is 465055642345003. The next prime is 465055642345027. The reversal of 465055642345023 is 320543246550564.

465055642345023 is a `hidden beast` number, since 4 + 6 + 5 + 0 + 5 + 564 + 2 + 3 + 4 + 50 + 23 = 666.

It is not a de Polignac number, because 465055642345023 - 217 = 465055642213951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465055642345027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87504286 + ... + 92666667.

It is an arithmetic number, because the mean of its divisors is an integer number (28469713296310).

Almost surely, 2465055642345023 is an apocalyptic number.

465055642345023 is a deficient number, since it is larger than the sum of its proper divisors (218217476766417).

465055642345023 is a wasteful number, since it uses less digits than its factorization.

465055642345023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180175879 (or 180175876 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

Adding to 465055642345023 its reverse (320543246550564), we get a palindrome (785598888895587).

The spelling of 465055642345023 in words is "four hundred sixty-five trillion, fifty-five billion, six hundred forty-two million, three hundred forty-five thousand, twenty-three".

Divisors: 1 3 9 59 177 531 4861 14583 43749 286799 860397 2581191 180170953 540512859 1621538577 10630086227 31890258681 95670776043 875811002533 2627433007599 7882299022797 51672849149447 155018547448341 465055642345023