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812674016 = 25731153127
BaseRepresentation
bin110000011100000…
…110101111100000
32002122012010011122
4300130012233200
53131021032031
6212350231412
726065421000
oct6034065740
92078163148
10812674016
11387808020
121a81b5568
13cc49c8cb
1479d08000
154b52c47b
hex30706be0

812674016 has 192 divisors, whose sum is σ = 2090188800. Its totient is φ = 308206080.

The previous prime is 812674013. The next prime is 812674043. The reversal of 812674016 is 610476218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812674013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6398945 + ... + 6399071.

It is an arithmetic number, because the mean of its divisors is an integer number (10886400).

Almost surely, 2812674016 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 812674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045094400).

812674016 is an abundant number, since it is smaller than the sum of its proper divisors (1277514784).

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

812674016 is a wasteful number, since it uses less digits than its factorization.

812674016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 812674016 is about 28507.4379066236. The cubic root of 812674016 is about 933.1944015425.

The spelling of 812674016 in words is "eight hundred twelve million, six hundred seventy-four thousand, sixteen".