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444642051717055 = 5712768639181787
BaseRepresentation
bin110010100011001100100101…
…1100010110111011110111111
32011022100100212002110110001201
41211012121023202313132333
5431240003410214421210
64213401423313520331
7162441220355401423
oct14506311342673677
92138310762413051
10444642051717055
111197496a94442a5
1241a527375730a7
1316114747704b4a
147bb2b0c192b83
15366126083653a
hex194664b8b77bf

444642051717055 has 16 divisors (see below), whose sum is σ = 533656038389760. Its totient is φ = 355656592547872.

The previous prime is 444642051717053. The next prime is 444642051717077. The reversal of 444642051717055 is 550717150246444.

It is a cyclic number.

It is not a de Polignac number, because 444642051717055 - 21 = 444642051717053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444642051716987 and 444642051717005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444642051717053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2445859872 + ... + 2446041658.

It is an arithmetic number, because the mean of its divisors is an integer number (33353502399360).

Almost surely, 2444642051717055 is an apocalyptic number.

444642051717055 is a deficient number, since it is larger than the sum of its proper divisors (89013986672705).

444642051717055 is a wasteful number, since it uses less digits than its factorization.

444642051717055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257558.

The product of its (nonzero) digits is 18816000, while the sum is 55.

The spelling of 444642051717055 in words is "four hundred forty-four trillion, six hundred forty-two billion, fifty-one million, seven hundred seventeen thousand, fifty-five".

Divisors: 1 5 7127 35635 68639 181787 343195 908935 489190153 1295595949 2445950765 6477979745 12477677893 62388389465 88928410343411 444642051717055