Search a number
-
+
461344443165 = 32510252098737
BaseRepresentation
bin1101011011010100100…
…01011000101100011101
31122002210212221222001100
412231222101120230131
530024313134140130
6551534432303313
745221355031044
oct6555221305435
91562725858040
10461344443165
11168722a02511
12754b33a1b39
1334673794518
141848742555b
15c0021b9c60
hex6b6a458b1d

461344443165 has 12 divisors (see below), whose sum is σ = 799663701564. Its totient is φ = 246050369664.

The previous prime is 461344443137. The next prime is 461344443179. The reversal of 461344443165 is 561344443164.

461344443165 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 44 + 443 + 165 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57424453956 + 403919989209 = 239634^2 + 635547^2 .

It is not a de Polignac number, because 461344443165 - 221 = 461342346013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 10252098737 = 461344443165 / (4 + 6 + 1 + 3 + 4 + 4 + 4 + 4 + 3 + 1 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 461344443165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5126049324 + ... + 5126049413.

It is an arithmetic number, because the mean of its divisors is an integer number (66638641797).

Almost surely, 2461344443165 is an apocalyptic number.

461344443165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461344443165 is a deficient number, since it is larger than the sum of its proper divisors (338319258399).

461344443165 is a wasteful number, since it uses less digits than its factorization.

461344443165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10252098748 (or 10252098745 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

Subtracting 461344443165 from its reverse (561344443164), we obtain a palindrome (99999999999).

The spelling of 461344443165 in words is "four hundred sixty-one billion, three hundred forty-four million, four hundred forty-three thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 10252098737 30756296211 51260493685 92268888633 153781481055 461344443165