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428922826084 = 22317210332
BaseRepresentation
bin1100011110111011100…
…10101110110101100100
31112000010100222011112201
412033131302232311210
524011413220413314
6525013332424244
742663051603064
oct6173562566544
91460110864481
10428922826084
111559a5831755
126b165478084
13315a77b530c
1416a8d5313a4
15b255b99b74
hex63ddcaed64

428922826084 has 27 divisors (see below), whose sum is σ = 753719926827. Its totient is φ = 213577923264.

The previous prime is 428922826069. The next prime is 428922826093. The reversal of 428922826084 is 480628229824.

The square root of 428922826084 is 654922.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1154504484 + 427768321600 = 33978^2 + 654040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 415220032 + ... + 415221064.

Almost surely, 2428922826084 is an apocalyptic number.

428922826084 is the 654922-nd square number.

It is an amenable number.

428922826084 is a deficient number, since it is larger than the sum of its proper divisors (324797100743).

428922826084 is an frugal number, since it uses more digits than its factorization.

428922826084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 428922826084 in words is "four hundred twenty-eight billion, nine hundred twenty-two million, eight hundred twenty-six thousand, eighty-four".

Divisors: 1 2 4 317 634 1033 1268 2066 4132 100489 200978 327461 401956 654922 1067089 1309844 2134178 4268356 103805137 207610274 338267213 415220548 676534426 1353068852 107230706521 214461413042 428922826084