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422508442752 = 273211217412
BaseRepresentation
bin1100010010111110111…
…01110011010010000000
31111101120100011201210200
412021133131303102000
523410244130132002
6522033034125200
742345103336044
oct6113735632200
91441510151720
10422508442752
11153204001600
1269a75280800
1330ac4910216
1416641696024
15aecc9abb1c
hex625f773480

422508442752 has 216 divisors, whose sum is σ = 1337156496585. Its totient is φ = 127959321600.

The previous prime is 422508442747. The next prime is 422508442907. The reversal of 422508442752 is 257244805224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 225564204096 + 196944238656 = 474936^2 + 443784^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459624.

It is a super-2 number, since 2×4225084427522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422508442698 and 422508442707.

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, 242680602 + ... + 242682342.

Almost surely, 2422508442752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422508442752

422508442752 is an abundant number, since it is smaller than the sum of its proper divisors (914648053833).

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

422508442752 is an equidigital number, since it uses as much as digits as its factorization.

422508442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 422508442752 in words is "four hundred twenty-two billion, five hundred eight million, four hundred forty-two thousand, seven hundred fifty-two".