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812500000000 = 2851213
BaseRepresentation
bin10111101001011001100…
…01100001110100000000
32212200012112002112101121
423310230301201310000
5101303000000000000
61421131330442024
7112462336022503
oct13645461416400
92780175075347
10812500000000
11293641082807
12111574733314
135b806896290
142b47a53913a
15162058cab1a
hexbd2cc61d00

812500000000 has 234 divisors, whose sum is σ = 2183227537274. Its totient is φ = 300000000000.

The previous prime is 812499999959. The next prime is 812500000001. The reversal of 812500000000 is 5218.

It is a happy number.

It can be written as a sum of positive squares in 13 ways, for example, as 798549555456 + 13950444544 = 893616^2 + 118112^2 .

It is a sliding number, since 812500000000 = 12500000000 + 800000000000 and 1/12500000000 + 1/800000000000 = 0.0000000000812500000000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 812500000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812500000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 62499999994 + ... + 62500000006.

Almost surely, 2812500000000 is an apocalyptic number.

812500000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812500000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091613768637).

812500000000 is an abundant number, since it is smaller than the sum of its proper divisors (1370727537274).

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

812500000000 is an frugal number, since it uses more digits than its factorization.

812500000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 812500000000 its reverse (5218), we get a palindrome (812500005218).

It can be divided in two parts, 81 and 2500000000, that multiplied together give a square (202500000000 = 4500002).

The spelling of 812500000000 in words is "eight hundred twelve billion, five hundred million", and thus it is an aban number.