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212932028808 = 2332232920692143
BaseRepresentation
bin1100011001001110111…
…1001110100110001000
3202100121121011211000100
43012103233032212020
511442041044410213
6241453012205400
721245440244622
oct3062357164610
9670547154010
10212932028808
1182338640914
1235326609860
13171055b2925
14a43d7d5c12
15581394b773
hex3193bce988

212932028808 has 192 divisors, whose sum is σ = 623106432000. Its totient is φ = 65488034304.

The previous prime is 212932028801. The next prime is 212932028819. The reversal of 212932028808 is 808820239212.

212932028808 is a `hidden beast` number, since 21 + 29 + 320 + 288 + 0 + 8 = 666.

212932028808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212932028801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99360585 + ... + 99362727.

It is an arithmetic number, because the mean of its divisors is an integer number (3245346000).

Almost surely, 2212932028808 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 212932028808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311553216000).

212932028808 is an abundant number, since it is smaller than the sum of its proper divisors (410174403192).

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

212932028808 is a wasteful number, since it uses less digits than its factorization.

212932028808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 212932028808 in words is "two hundred twelve billion, nine hundred thirty-two million, twenty-eight thousand, eight hundred eight".