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212274485896704 = 29371117312611801
BaseRepresentation
bin110000010001000000000001…
…010100111010011000000000
31000211121020112220100110011020
4300101000001110322120000
5210310401121342143304
62031245315204545440
762466216435054660
oct6021000124723000
91024536486313136
10212274485896704
1161701116338a70
121b9842739b2280
13915a5238c160a
143a5c1d5db41a0
151981b2e7995d9
hexc1100153a600

212274485896704 has 1920 divisors, whose sum is σ = 784467738565632. Its totient is φ = 49368268800000.

The previous prime is 212274485896633. The next prime is 212274485896717. The reversal of 212274485896704 is 407698584472212.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 117864788604 + ... + 117864790404.

Almost surely, 2212274485896704 is an apocalyptic number.

212274485896704 is a gapful number since it is divisible by the number (24) 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 212274485896704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392233869282816).

212274485896704 is an abundant number, since it is smaller than the sum of its proper divisors (572193252668928).

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

212274485896704 is a wasteful number, since it uses less digits than its factorization.

212274485896704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 69.

The spelling of 212274485896704 in words is "two hundred twelve trillion, two hundred seventy-four billion, four hundred eighty-five million, eight hundred ninety-six thousand, seven hundred four".