Search a number
-
+
445480727464566 = 23265819643389989
BaseRepresentation
bin110010101001010011001000…
…0100000111100101001110110
32011102022112121211211201122100
41211102212100200330221312
5431342224012212331231
64215243004305442530
7162555630466544013
oct14522462040745166
92142275554751570
10445480727464566
11119a42351aa4592
1241b69196340446
1316175863286c01
147c0154cc9070a
153677e9922e1e6
hex195299083ca76

445480727464566 has 48 divisors (see below), whose sum is σ = 965457493724880. Its totient is φ = 148455234406080.

The previous prime is 445480727464543. The next prime is 445480727464601. The reversal of 445480727464566 is 665464727084544.

It is a happy number.

445480727464566 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 80 + 7 + 27 + 464 + 5 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 445480727464494 and 445480727464503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142095500 + ... + 1142485488.

It is an arithmetic number, because the mean of its divisors is an integer number (20113697785935).

Almost surely, 2445480727464566 is an apocalyptic number.

445480727464566 is an abundant number, since it is smaller than the sum of its proper divisors (519976766260314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445480727464566 is a wasteful number, since it uses less digits than its factorization.

445480727464566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406221 (or 406218 counting only the distinct ones).

The product of its (nonzero) digits is 4335206400, while the sum is 72.

The spelling of 445480727464566 in words is "four hundred forty-five trillion, four hundred eighty billion, seven hundred twenty-seven million, four hundred sixty-four thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 6581 9643 13162 19286 19743 28929 39486 57858 59229 86787 118458 173574 389989 779978 1169967 2339934 3509901 7019802 63460583 126921166 190381749 380763498 571145247 1142290494 2566517609 3760663927 5133035218 7521327854 7699552827 11281991781 15399105654 22563983562 23098658481 33845975343 46197316962 67691950686 24748929303587 49497858607174 74246787910761 148493575821522 222740363732283 445480727464566