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64404444440446 = 21195316371876513
BaseRepresentation
bin11101010010011010101000…
…00010000110011101111110
322110001000010110122120000121
432221031110002012131332
531420200300234043241
6344550554320245154
716365032113112065
oct1651152402063576
9273030113576017
1064404444440446
1119580853958a50
12728201a1707ba
1329c240ba07c76
1411c92982011dc
1576a49271cad1
hex3a935408677e

64404444440446 has 32 divisors (see below), whose sum is σ = 105564180784608. Its totient is φ = 29226148976640.

The previous prime is 64404444440429. The next prime is 64404444440471.

64404444440446 is nontrivially palindromic in base 10.

64404444440446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64404444440393 and 64404444440402.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33383086 + ... + 35259598.

It is an arithmetic number, because the mean of its divisors is an integer number (3298880649519).

Almost surely, 264404444440446 is an apocalyptic number.

64404444440446 is a deficient number, since it is larger than the sum of its proper divisors (41159736344162).

64404444440446 is a wasteful number, since it uses less digits than its factorization.

64404444440446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879116.

The product of its (nonzero) digits is 37748736, while the sum is 52.

The spelling of 64404444440446 in words is "sixty-four trillion, four hundred four billion, four hundred forty-four million, four hundred forty thousand, four hundred forty-six".

Divisors: 1 2 11 22 953 1637 1906 3274 10483 18007 20966 36014 1560061 1876513 3120122 3753026 17160671 20641643 34321342 41283286 1788316889 3071851781 3576633778 6143703562 19671485779 33790369591 39342971558 67580739182 2927474747293 5854949494586 32202222220223 64404444440446