Search a number
-
+
452434663006056 = 23327386079654301
BaseRepresentation
bin110011011011111001010011…
…1010111110101111101101000
32012022221022221120101202101200
41212313302213113311331220
5433300142142212143211
64242125340450044200
7164204216501431323
oct14667624727657550
92168838846352350
10452434663006056
11121183510357405
12428b0a51279660
131655b5372b5aa3
147da1d5132b7ba
153748ce5829b56
hex19b7ca75f5f68

452434663006056 has 48 divisors (see below), whose sum is σ = 1242129411577860. Its totient is φ = 148745642630400.

The previous prime is 452434663006037. The next prime is 452434663006057. The reversal of 452434663006056 is 650600366434254.

452434663006056 is a `hidden beast` number, since 4 + 5 + 2 + 43 + 466 + 30 + 0 + 60 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 379215254902500 + 73219408103556 = 19473450^2 + 8556834^2 .

It is a super-3 number, since 3×4524346630060563 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 452434663005993 and 452434663006011.

It is not an unprimeable number, because it can be changed into a prime (452434663006057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43039821895 + ... + 43039832406.

Almost surely, 2452434663006056 is an apocalyptic number.

It is an amenable number.

452434663006056 is an abundant number, since it is smaller than the sum of its proper divisors (789694748571804).

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

452434663006056 is a wasteful number, since it uses less digits than its factorization.

452434663006056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86079654386 (or 86079654379 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 452434663006056 in words is "four hundred fifty-two trillion, four hundred thirty-four billion, six hundred sixty-three million, six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 86079654301 172159308602 258238962903 344318617204 516477925806 688637234408 774716888709 1032955851612 1549433777418 2065911703224 3098867554836 6197735109672 6283814763973 12567629527946 18851444291919 25135259055892 37702888583838 50270518111784 56554332875757 75405777167676 113108665751514 150811554335352 226217331503028 452434663006056