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420984268191 = 33107145719719
BaseRepresentation
bin1100010000001001001…
…11100010010110011111
31111020122010011122101000
412020010213202112133
523344133433040231
6521221505521343
742262245144324
oct6100447422637
91436563148330
10420984268191
111525a170a703
126970a943253
1330910c05696
141653909cb4b
15ae3dc896e6
hex62049e259f

420984268191 has 16 divisors (see below), whose sum is σ = 629509190400. Its totient is φ = 278033221944.

The previous prime is 420984268181. The next prime is 420984268223. The reversal of 420984268191 is 191862489024.

It is a happy number.

420984268191 is a `hidden beast` number, since 4 + 20 + 9 + 8 + 426 + 8 + 191 = 666.

It is not a de Polignac number, because 420984268191 - 219 = 420983743903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420984268181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72856971 + ... + 72862748.

It is an arithmetic number, because the mean of its divisors is an integer number (39344324400).

Almost surely, 2420984268191 is an apocalyptic number.

420984268191 is a deficient number, since it is larger than the sum of its proper divisors (208524922209).

420984268191 is a wasteful number, since it uses less digits than its factorization.

420984268191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145719835 (or 145719829 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 4209 and 84268191, that added together give a square (84272400 = 91802).

The spelling of 420984268191 in words is "four hundred twenty billion, nine hundred eighty-four million, two hundred sixty-eight thousand, one hundred ninety-one".

Divisors: 1 3 9 27 107 321 963 2889 145719719 437159157 1311477471 3934432413 15592009933 46776029799 140328089397 420984268191