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212053531536 = 2432711371493469
BaseRepresentation
bin1100010101111101100…
…0000001101110010000
3202021100101010112022100
43011133120001232100
511433241201002121
6241225511040400
721214612164240
oct3053730015620
9667311115270
10212053531536
1181a27765910
1235120370100
1316cc55a7662
14a398c75b20
1557b176b026
hex315f601b90

212053531536 has 480 divisors, whose sum is σ = 765209952000. Its totient is φ = 53215211520.

The previous prime is 212053531517. The next prime is 212053531631. The reversal of 212053531536 is 635135350212.

212053531536 is a `hidden beast` number, since 2 + 1 + 20 + 53 + 53 + 1 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212053531536.

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 95 ways as a sum of consecutive naturals, for example, 61126410 + ... + 61129878.

It is an arithmetic number, because the mean of its divisors is an integer number (1594187400).

Almost surely, 2212053531536 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 212053531536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382604976000).

212053531536 is an abundant number, since it is smaller than the sum of its proper divisors (553156420464).

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

212053531536 is a wasteful number, since it uses less digits than its factorization.

212053531536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 212053531536 its reverse (635135350212), we get a palindrome (847188881748).

The spelling of 212053531536 in words is "two hundred twelve billion, fifty-three million, five hundred thirty-one thousand, five hundred thirty-six".