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460100050046 = 271323109914011
BaseRepresentation
bin1101011001000000001…
…10011001110001111110
31121222121011102020121022
412230200012121301332
530014241103100141
6551211140504142
745145464616550
oct6544006316176
91558534366538
10460100050046
1116814453554a
12752066ab052
1334505a28a30
14183aa05b4d0
15be7cd10b4b
hex6b20199c7e

460100050046 has 32 divisors (see below), whose sum is σ = 886346592768. Its totient is φ = 174103791840.

The previous prime is 460100049979. The next prime is 460100050057. The reversal of 460100050046 is 640050001064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 460100049997 and 460100050024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54952820 + ... + 54961191.

It is an arithmetic number, because the mean of its divisors is an integer number (27698331024).

Almost surely, 2460100050046 is an apocalyptic number.

460100050046 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

460100050046 is a deficient number, since it is larger than the sum of its proper divisors (426246542722).

460100050046 is a wasteful number, since it uses less digits than its factorization.

460100050046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109914056.

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 460100050046 in words is "four hundred sixty billion, one hundred million, fifty thousand, forty-six".

Divisors: 1 2 7 13 14 23 26 46 91 161 182 299 322 598 2093 4186 109914011 219828022 769398077 1428882143 1538796154 2528022253 2857764286 5056044506 10002175001 17696155771 20004350002 32864289289 35392311542 65728578578 230050025023 460100050046