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6444242266503 = 3431372237163003
BaseRepresentation
bin101110111000110101011…
…0001010110100110000111
3211211001201022201221000010
41131301222301112212013
51321040302010012003
621412235524321303
71233403221321666
oct135615261264607
924731638657003
106444242266503
112064a95838468
12880b2b843233
133798c6907752
14183c8db38ddd
15b29699e6003
hex5dc6ac56987

6444242266503 has 32 divisors (see below), whose sum is σ = 8860334098176. Its totient is φ = 4163733520128.

The previous prime is 6444242266481. The next prime is 6444242266513. The reversal of 6444242266503 is 3056622424446.

It is not a de Polignac number, because 6444242266503 - 28 = 6444242266247 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444242266513) 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, 39453000 + ... + 39616002.

It is an arithmetic number, because the mean of its divisors is an integer number (276885440568).

Almost surely, 26444242266503 is an apocalyptic number.

6444242266503 is a deficient number, since it is larger than the sum of its proper divisors (2416091831673).

6444242266503 is a wasteful number, since it uses less digits than its factorization.

6444242266503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165423.

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 6444242266503 in words is "six trillion, four hundred forty-four billion, two hundred forty-two million, two hundred sixty-six thousand, five hundred three".

Divisors: 1 3 43 129 137 411 2237 5891 6711 17673 96191 163003 288573 306469 489009 919407 7009129 13178167 21027387 22331411 39534501 66994233 364637711 960250673 1093913133 2880752019 15679421573 47038264719 49955366407 149866099221 2148080755501 6444242266503