Search a number
-
+
452164609728 = 26321360385231
BaseRepresentation
bin1101001010001110001…
…11000110011011000000
31121020010010111002221100
412211013013012123000
524402013120002403
6543415504454400
744445026524206
oct6450707063300
91536103432840
10452164609728
11164842152807
127377101a400
133383c99b110
1417c5619b076
15bb663192a3
hex69471c66c0

452164609728 has 84 divisors (see below), whose sum is σ = 1395744252448. Its totient is φ = 139127569920.

The previous prime is 452164609727. The next prime is 452164609751. The reversal of 452164609728 is 827906461254.

452164609728 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 6 + 4 + 609 + 7 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (452164609727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30185128 + ... + 30200103.

Almost surely, 2452164609728 is an apocalyptic number.

452164609728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

452164609728 is an abundant number, since it is smaller than the sum of its proper divisors (943579642720).

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

452164609728 is a wasteful number, since it uses less digits than its factorization.

452164609728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60385262 (or 60385249 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 452164609728 in words is "four hundred fifty-two billion, one hundred sixty-four million, six hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 60385231 120770462 181155693 241540924 362311386 483081848 543467079 724622772 785008003 966163696 1086934158 1449245544 1570016006 1932327392 2173868316 2355024009 2898491088 3140032012 3864654784 4347736632 4710048018 5796982176 6280064024 7065072027 8695473264 9420096036 11593964352 12560128048 14130144054 17390946528 18840192072 25120256096 28260288108 34781893056 37680384144 50240512192 56520576216 75360768288 113041152432 150721536576 226082304864 452164609728