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812231203968 = 27345321672
BaseRepresentation
bin10111101000111001100…
…00001001110010000000
32212122111210022021120000
423310130300021302000
5101301422142011333
61421044525320000
7112452563214552
oct13643460116200
92778453267500
10812231203968
11293513381328
121114ba706000
135b792ca2482
142b4529694d2
15161dbed2713
hexbd1cc09c80

812231203968 has 360 divisors, whose sum is σ = 2478495478305. Its totient is φ = 264044731392.

The previous prime is 812231203909. The next prime is 812231203991. The reversal of 812231203968 is 869302132218.

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.

812231203968 is a `hidden beast` number, since 8 + 1 + 2 + 231 + 20 + 396 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 770448573504 + 41782630464 = 877752^2 + 204408^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=637272.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4863659821 + ... + 4863659987.

Almost surely, 2812231203968 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 812231203968

812231203968 is an abundant number, since it is smaller than the sum of its proper divisors (1666264274337).

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

812231203968 is an frugal number, since it uses more digits than its factorization.

812231203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 812231203968 in words is "eight hundred twelve billion, two hundred thirty-one million, two hundred three thousand, nine hundred sixty-eight".