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212021426880 = 263751771251
BaseRepresentation
bin1100010101110101110…
…1100011101011000000
3202021021010201110000000
43011131131203223000
511433204441130010
6241222403000000
721214042251534
oct3053535435300
9667233643000
10212021426880
1181a1062813a
1235111669000
1316cbba46713
14a3948b9bc4
1557ada287c0
hex315d763ac0

212021426880 has 896 divisors, whose sum is σ = 816270981120. Its totient is φ = 52254720000.

The previous prime is 212021426831. The next prime is 212021426933. The reversal of 212021426880 is 88624120212.

212021426880 is a `hidden beast` number, since 21 + 202 + 1 + 426 + 8 + 8 + 0 = 666.

212021426880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 844706755 + ... + 844707005.

It is an arithmetic number, because the mean of its divisors is an integer number (911016720).

Almost surely, 2212021426880 is an apocalyptic number.

212021426880 is a gapful number since it is divisible by the number (20) 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 212021426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408135490560).

212021426880 is an abundant number, since it is smaller than the sum of its proper divisors (604249554240).

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

212021426880 is an equidigital number, since it uses as much as digits as its factorization.

212021426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 212021426880 in words is "two hundred twelve billion, twenty-one million, four hundred twenty-six thousand, eight hundred eighty".