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212369060640 = 253511396710139
BaseRepresentation
bin1100010111001000101…
…1101011001100100000
3202022011100212001212110
43011302023223030200
511434412434420030
6241321101555320
721225463142202
oct3056213531440
9668140761773
10212369060640
1182079886570
12351a9b75b40
1317045a81879
14a3c8b2c772
1557ce2e61b0
hex31722eb320

212369060640 has 192 divisors, whose sum is σ = 730033274880. Its totient is φ = 51465354240.

The previous prime is 212369060627. The next prime is 212369060681. The reversal of 212369060640 is 46060963212.

212369060640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 20940691 + ... + 20950829.

It is an arithmetic number, because the mean of its divisors is an integer number (3802256640).

Almost surely, 2212369060640 is an apocalyptic number.

212369060640 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 212369060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365016637440).

212369060640 is an abundant number, since it is smaller than the sum of its proper divisors (517664214240).

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

212369060640 is a wasteful number, since it uses less digits than its factorization.

212369060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14135 (or 14127 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 212369060640 in words is "two hundred twelve billion, three hundred sixty-nine million, sixty thousand, six hundred forty".