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444526167713117 = 72383242313729033
BaseRepresentation
bin110010100010010110101000…
…0010100011110010101011101
32011021221021201221021002200212
41211010231100110132111131
5431231104042413304432
64213232300253302205
7162426645555536510
oct14504552024362535
92137837657232625
10444526167713117
1111970454199aa16
1241a34196194965
131610683a193809
147bab277756d77
15365d22bdba2b2
hex1944b5051e55d

444526167713117 has 32 divisors (see below), whose sum is σ = 536726589493248. Its totient is φ = 359916568615296.

The previous prime is 444526167713093. The next prime is 444526167713143. The reversal of 444526167713117 is 711317761625444.

It is not a de Polignac number, because 444526167713117 - 212 = 444526167709021 is a prime.

It is a super-2 number, since 2×4445261677131172 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444526167713167) 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 31 ways as a sum of consecutive naturals, for example, 25514033 + ... + 39243065.

It is an arithmetic number, because the mean of its divisors is an integer number (16772705921664).

Almost surely, 2444526167713117 is an apocalyptic number.

It is an amenable number.

444526167713117 is a deficient number, since it is larger than the sum of its proper divisors (92200421780131).

444526167713117 is a wasteful number, since it uses less digits than its factorization.

444526167713117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731569.

The product of its digits is 23708160, while the sum is 59.

The spelling of 444526167713117 in words is "four hundred forty-four trillion, five hundred twenty-six billion, one hundred sixty-seven million, seven hundred thirteen thousand, one hundred seventeen".

Divisors: 1 7 23 83 161 581 1909 2423 13363 16961 55729 201109 390103 1407763 4625507 13729033 32378549 96103231 315767759 1139509739 2210374313 7976568173 26208723997 33265446959 183461067979 232858128713 765105280057 2761032097597 5355736960399 19327224683179 63503738244731 444526167713117