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64441744714446 = 2311976390071431
BaseRepresentation
bin11101010011100000000110…
…10011010110101011001110
322110011120101222200210200020
432221300003103112223032
531421303143121330241
6345020043454443010
716400522336160441
oct1651600323265316
9273146358623606
1064441744714446
1119595654997980
1272892a9b03466
1329c5aa466b708
1411cadd600b658
1576b4271c5b66
hex3a9c034d6ace

64441744714446 has 16 divisors (see below), whose sum is σ = 140600170286208. Its totient is φ = 19527801428600.

The previous prime is 64441744714433. The next prime is 64441744714447.

64441744714446 is nontrivially palindromic in base 10.

64441744714446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64441744714446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64441744714447) 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 7 ways as a sum of consecutive naturals, for example, 488195035650 + ... + 488195035781.

It is an arithmetic number, because the mean of its divisors is an integer number (8787510642888).

Almost surely, 264441744714446 is an apocalyptic number.

64441744714446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64441744714446 is an abundant number, since it is smaller than the sum of its proper divisors (76158425571762).

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

64441744714446 is a wasteful number, since it uses less digits than its factorization.

64441744714446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976390071447.

The product of its digits is 115605504, while the sum is 60.

The spelling of 64441744714446 in words is "sixty-four trillion, four hundred forty-one billion, seven hundred forty-four million, seven hundred fourteen thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 976390071431 1952780142862 2929170214293 5858340428586 10740290785741 21480581571482 32220872357223 64441744714446