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427435611300 = 223252474928457
BaseRepresentation
bin1100011100001010010…
…01011101010010100100
31111212021201111211101200
412032011021131102210
524000342004030200
6524210004322500
742611152514655
oct6160511352244
91455251454350
10427435611300
11155302294225
126aa0b3a3430
13313cb64b579
141698bbd952c
15b1ba328800
hex638525d4a4

427435611300 has 54 divisors (see below), whose sum is σ = 1339773180018. Its totient is φ = 113982829440.

The previous prime is 427435611289. The next prime is 427435611311. The reversal of 427435611300 is 3116534724.

427435611300 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 3 + 5 + 611 + 30 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (427435611289) and next prime (427435611311).

It can be written as a sum of positive squares in 3 ways, for example, as 5421671424 + 422013939876 = 73632^2 + 649626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 237463329 + ... + 237465128.

Almost surely, 2427435611300 is an apocalyptic number.

It is an amenable number.

427435611300 is an abundant number, since it is smaller than the sum of its proper divisors (912337568718).

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

427435611300 is a wasteful number, since it uses less digits than its factorization.

427435611300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474928477 (or 474928467 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 427435611300 in words is "four hundred twenty-seven billion, four hundred thirty-five million, six hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 474928457 949856914 1424785371 1899713828 2374642285 2849570742 4274356113 4749284570 5699141484 7123926855 8548712226 9498569140 11873211425 14247853710 17097424452 21371780565 23746422850 28495707420 35619634275 42743561130 47492845700 71239268550 85487122260 106858902825 142478537100 213717805650 427435611300