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212016938640 = 2435134367103229
BaseRepresentation
bin1100010101110100110…
…0011011111010010000
3202021020211021102021220
43011131030123322100
511433202314014030
6241222122445040
721213656146353
oct3053514337220
9667224242256
10212016938640
1181a09042051
1235110063780
1316cbab34860
14a39406c29a
1557ad43da10
hex315d31be90

212016938640 has 640 divisors, whose sum is σ = 745458954240. Its totient is φ = 49509605376.

The previous prime is 212016938633. The next prime is 212016938689. The reversal of 212016938640 is 46839610212.

212016938640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212016938592 and 212016938601.

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, 925838046 + ... + 925838274.

It is an arithmetic number, because the mean of its divisors is an integer number (1164779616).

Almost surely, 2212016938640 is an apocalyptic number.

212016938640 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 212016938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372729477120).

212016938640 is an abundant number, since it is smaller than the sum of its proper divisors (533442015600).

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

212016938640 is a wasteful number, since it uses less digits than its factorization.

212016938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 212016938640 in words is "two hundred twelve billion, sixteen million, nine hundred thirty-eight thousand, six hundred forty".