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426211978589604 = 22361724325232
BaseRepresentation
bin110000011101000110011010…
…1100101010011010110100100
32001220002110121121101021000000
41200322030311211103112210
5421331024113004331404
64110251025133021300
7155526541103524254
oct14072146545232644
92056073547337000
10426211978589604
11113893537654a09
123b9768a1324830
13153a8803a89b8c
147736aac5bd964
153441b41d13339
hex183a3359535a4

426211978589604 has 567 divisors, whose sum is σ = 1218545504947953. Its totient is φ = 130354223457024.

The previous prime is 426211978589539. The next prime is 426211978589609. The reversal of 426211978589604 is 406985879112624.

It is a happy number.

The square root of 426211978589604 is 20644902.

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

426211978589604 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 1 + 1 + 9 + 7 + 8 + 5 + 8 + 9 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 331825934888100 + 94386043701504 = 18216090^2 + 9715248^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (426211978589609) by changing a digit.

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 188 ways as a sum of consecutive naturals, for example, 814936861287 + ... + 814936861809.

Almost surely, 2426211978589604 is an apocalyptic number.

426211978589604 is the 20644902-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426211978589604

426211978589604 is an abundant number, since it is smaller than the sum of its proper divisors (792333526358349).

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

426211978589604 is an frugal number, since it uses more digits than its factorization.

426211978589604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 426211978589604 in words is "four hundred twenty-six trillion, two hundred eleven billion, nine hundred seventy-eight million, five hundred eighty-nine thousand, six hundred four".