Search a number
-
+
483209027424256 = 2127213923532
BaseRepresentation
bin110110111011110011101111…
…0011011101001000000000000
32100100220022221221100202201211
41231313213132123221000000
51001313344042010034011
64431411055050135504
7203531462105105200
oct15567473633510000
92310808857322654
10483209027424256
1112aa68885825111
1246241191721594
1317981553591a93
1487476280ca400
153ace598027b21
hex1b779de6e9000

483209027424256 has 351 divisors, whose sum is σ = 1135424803122441. Its totient is φ = 205017294569472.

The previous prime is 483209027424199. The next prime is 483209027424269. The reversal of 483209027424256 is 652424720902384.

The square root of 483209027424256 is 21982016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 196313725440000 + 286895301984256 = 14011200^2 + 16937984^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 483209027424256.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1368864100176 + ... + 1368864100528.

Almost surely, 2483209027424256 is an apocalyptic number.

483209027424256 is the 21982016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483209027424256

483209027424256 is an abundant number, since it is smaller than the sum of its proper divisors (652215775698185).

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

483209027424256 is an frugal number, since it uses more digits than its factorization.

483209027424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 58.

The spelling of 483209027424256 in words is "four hundred eighty-three trillion, two hundred nine billion, twenty-seven million, four hundred twenty-four thousand, two hundred fifty-six".