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212021447040 = 273251312492267
BaseRepresentation
bin1100010101110101110…
…1101000100110000000
3202021021010202110122200
43011131131220212000
511433204442301130
6241222403233200
721214042364364
oct3053535504600
9667233673580
10212021447040
1181a106412a7
1235111678800
1316cbba52950
14a3948c32a4
1557ada2e760
hex315d768980

212021447040 has 384 divisors, whose sum is σ = 789434100000. Its totient is φ = 52125106176.

The previous prime is 212021447039. The next prime is 212021447069. The reversal of 212021447040 is 40744120212.

212021447040 is a `hidden beast` number, since 212 + 0 + 2 + 1 + 447 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 212021446995 and 212021447013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 93523987 + ... + 93526253.

Almost surely, 2212021447040 is an apocalyptic number.

212021447040 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 212021447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394717050000).

212021447040 is an abundant number, since it is smaller than the sum of its proper divisors (577412652960).

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

212021447040 is a wasteful number, since it uses less digits than its factorization.

212021447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 212021447040 its reverse (40744120212), we get a palindrome (252765567252).

The spelling of 212021447040 in words is "two hundred twelve billion, twenty-one million, four hundred forty-seven thousand, forty".