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212365343563212 = 223731419720506289
BaseRepresentation
bin110000010010010100101000…
…110111011001110111001100
31000211220221001221002010112210
4300102110220313121313030
5210313343210423010322
62031355143024030420
762505614120352660
oct6022245067316714
91024827057063483
10212365343563212
11617367000a7654
121b9999aba62410
139165c73307568
143a62774b6c8a0
15198419b08e70c
hexc12528dd9dcc

212365343563212 has 192 divisors, whose sum is σ = 605007080939520. Its totient is φ = 56695785062400.

The previous prime is 212365343563211. The next prime is 212365343563279.

It is a happy number.

212365343563212 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (212365343563211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102964 + ... + 20609252.

It is an arithmetic number, because the mean of its divisors is an integer number (3151078546560).

Almost surely, 2212365343563212 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 212365343563212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302503540469760).

212365343563212 is an abundant number, since it is smaller than the sum of its proper divisors (392641737376308).

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

212365343563212 is a wasteful number, since it uses less digits than its factorization.

212365343563212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20506472 (or 20506470 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The spelling of 212365343563212 in words is "two hundred twelve trillion, three hundred sixty-five billion, three hundred forty-three million, five hundred sixty-three thousand, two hundred twelve".