Search a number
-
+
498181264064 = 26111279553279
BaseRepresentation
bin1110011111111011110…
…10101101001011000000
31202121220002221100120022
413033331322231023000
531130233400422224
61020510013233012
750664252606251
oct7177572551300
91677802840508
10498181264064
11182306377250
1280673a92768
1337c943caa73
141a17d870b28
15ce5b12865e
hex73fdead2c0

498181264064 has 56 divisors (see below), whose sum is σ = 1079294361600. Its totient is φ = 226268570880.

The previous prime is 498181264037. The next prime is 498181264073. The reversal of 498181264064 is 460462181894.

It is a junction number, because it is equal to n+sod(n) for n = 498181263997 and 498181264015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623777 + ... + 1177055.

It is an arithmetic number, because the mean of its divisors is an integer number (19273113600).

Almost surely, 2498181264064 is an apocalyptic number.

498181264064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498181264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539647180800).

498181264064 is an abundant number, since it is smaller than the sum of its proper divisors (581113097536).

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

498181264064 is a wasteful number, since it uses less digits than its factorization.

498181264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554581 (or 554571 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The spelling of 498181264064 in words is "four hundred ninety-eight billion, one hundred eighty-one million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1279 2558 5116 10232 14069 20464 28138 40928 56276 81856 112552 225104 450208 553279 900416 1106558 2213116 4426232 6086069 8852464 12172138 17704928 24344276 35409856 48688552 97377104 194754208 389508416 707643841 1415287682 2830575364 5661150728 7784082251 11322301456 15568164502 22644602912 31136329004 45289205824 62272658008 124545316016 249090632032 498181264064