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427836550338 = 232151210212
BaseRepresentation
bin1100011100111010000…
…10111010110011000010
31111220022122221122100200
412032131002322303002
524002202124102323
6524313450030030
742624121450311
oct6163502726302
91456278848320
10427836550338
111554986406aa
126ab01718316
133146372b3c2
14169c9166278
15b1e0625443
hex639d0bacc2

427836550338 has 54 divisors (see below), whose sum is σ = 934073643321. Its totient is φ = 141528978000.

The previous prime is 427836550321. The next prime is 427836550343. The reversal of 427836550338 is 833055638724.

It is a happy number.

427836550338 is a `hidden beast` number, since 4 + 2 + 7 + 83 + 6 + 550 + 3 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424930585689 + 2905964649 = 651867^2 + 53907^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=462513.

It is a super-2 number, since 2×4278365503382 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

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 26 ways as a sum of consecutive naturals, for example, 419036268 + ... + 419037288.

Almost surely, 2427836550338 is an apocalyptic number.

427836550338 is an abundant number, since it is smaller than the sum of its proper divisors (506237092983).

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

427836550338 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (427836550339) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2352).

427836550338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 427836550338 in words is "four hundred twenty-seven billion, eight hundred thirty-six million, five hundred fifty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 151 302 453 906 1021 1359 2042 2718 3063 6126 9189 18378 22801 45602 68403 136806 154171 205209 308342 410418 462513 925026 1042441 1387539 2084882 2775078 3127323 6254646 9381969 18763938 23279821 46559642 69839463 139678926 157408591 209518389 314817182 419036778 472225773 944451546 1416677319 2833354638 23768697241 47537394482 71306091723 142612183446 213918275169 427836550338