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212340065603449 = 721972105672
BaseRepresentation
bin110000010001111101000110…
…001011101000111101111001
31000211211111211021010201121211
4300101331012023220331321
5210312434423243302244
62031335402433403121
762504030526266200
oct6021750613507571
91024744737121554
10212340065603449
1161726a09380313
121b994b164094a1
13916377531c214
143a6145790c237
1519836bbcb3934
hexc11f462e8f79

212340065603449 has 27 divisors (see below), whose sum is σ = 248291539861743. Its totient is φ = 181064746811088.

The previous prime is 212340065603399. The next prime is 212340065603459. The reversal of 212340065603449 is 944306560043212.

The square root of 212340065603449 is 14571893.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 208050477842025 + 4289587761424 = 14423955^2 + 2071132^2 .

It is not a de Polignac number, because 212340065603449 - 213 = 212340065595257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (212340065603459) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20094635164 + ... + 20094645730.

Almost surely, 2212340065603449 is an apocalyptic number.

212340065603449 is the 14571893-rd square number.

212340065603449 is the 7285947-th centered octagonal number.

It is an amenable number.

212340065603449 is a deficient number, since it is larger than the sum of its proper divisors (35951474258294).

212340065603449 is an frugal number, since it uses more digits than its factorization.

212340065603449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21542 (or 10771 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

212340065603449 divided by its sum of digits (49) gives a square (4333470726601 = 20816992).

The spelling of 212340065603449 in words is "two hundred twelve trillion, three hundred forty billion, sixty-five million, six hundred three thousand, four hundred forty-nine".

Divisors: 1 7 49 197 1379 9653 10567 38809 73969 271663 517783 1901641 2081699 14571893 102003251 111661489 410094703 781630423 2870662921 5471412961 20094640447 21997313333 153981193331 1077868353317 4333470726601 30334295086207 212340065603449