Search a number
-
+
452405464504254 = 233127155414244743
BaseRepresentation
bin110011011011101011101101…
…1000000011001011110111110
32012022211112120200021011212000
41212313113123000121132332
5433244202342403114004
64242104111244523130
7164202134103316032
oct14667273300313676
92168745520234760
10452405464504254
11121172097587888
12428a72628504a6
1316558862ca97a1
147da078151c1c2
153748187271c39
hex19b75db0197be

452405464504254 has 64 divisors (see below), whose sum is σ = 1013327020769280. Its totient is φ = 149604743262240.

The previous prime is 452405464504241. The next prime is 452405464504291.

452405464504254 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 0 + 54 + 64 + 504 + 25 + 4 = 666.

452405464504254 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 452405464504254.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104457807 + ... + 108702549.

It is an arithmetic number, because the mean of its divisors is an integer number (15833234699520).

Almost surely, 2452405464504254 is an apocalyptic number.

452405464504254 is an abundant number, since it is smaller than the sum of its proper divisors (560921556265026).

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

452405464504254 is a wasteful number, since it uses less digits than its factorization.

452405464504254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260422 (or 4260416 counting only the distinct ones).

The product of its (nonzero) digits is 61440000, while the sum is 54.

The spelling of 452405464504254 in words is "four hundred fifty-two trillion, four hundred five billion, four hundred sixty-four million, five hundred four thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 127 254 381 762 1143 2286 3429 6858 15541 31082 46623 93246 139869 279738 419607 839214 1973707 3947414 4244743 5921121 8489486 11842242 12734229 17763363 25468458 35526726 38202687 53290089 76405374 106580178 114608061 229216122 539082361 1078164722 1617247083 3234494166 4851741249 9703482498 14555223747 29110447494 65967550963 131935101926 197902652889 395805305778 593707958667 1187415917334 1781123876001 3562247752002 8377878972301 16755757944602 25133636916903 50267273833806 75400910750709 150801821501418 226202732252127 452405464504254