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20430366444 = 2232567510179
BaseRepresentation
bin10011000001101111…
…101010011011101100
31221201211100011000200
4103001233222123230
5313320133211234
613215141353500
71322166151365
oct230157523354
957654304020
1020430366444
118734455774
123b62108890
131c078bbc37
14dbb512b6c
157e892bd99
hex4c1bea6ec

20430366444 has 18 divisors (see below), whose sum is σ = 51643426380. Its totient is φ = 6810122136.

The previous prime is 20430366433. The next prime is 20430366457. The reversal of 20430366444 is 44466303402.

20430366444 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 0 + 3 + 6 + 644 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×204303664442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 567510179 = 20430366444 / (2 + 0 + 4 + 3 + 0 + 3 + 6 + 6 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 20430366399 and 20430366408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283755054 + ... + 283755125.

Almost surely, 220430366444 is an apocalyptic number.

It is an amenable number.

20430366444 is an abundant number, since it is smaller than the sum of its proper divisors (31213059936).

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

20430366444 is a wasteful number, since it uses less digits than its factorization.

20430366444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567510189 (or 567510184 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20430366444 its reverse (44466303402), we get a palindrome (64896669846).

The spelling of 20430366444 in words is "twenty billion, four hundred thirty million, three hundred sixty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 567510179 1135020358 1702530537 2270040716 3405061074 5107591611 6810122148 10215183222 20430366444