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44268456897 = 3273781123417
BaseRepresentation
bin101001001110100110…
…110000101111000001
311020021010220121120200
4221032212300233001
51211130211110042
632200414355413
73125004450360
oct511646605701
9136233817520
1044268456897
1117857431975
1286b54bbb69
1342364a95c2
1421dd4437d7
1512415d9c4c
hexa4e9b0bc1

44268456897 has 48 divisors (see below), whose sum is σ = 75148924032. Its totient is φ = 24581180160.

The previous prime is 44268456889. The next prime is 44268456913. The reversal of 44268456897 is 79865486244.

44268456897 is a `hidden beast` number, since 4 + 4 + 2 + 68 + 4 + 568 + 9 + 7 = 666.

It is not a de Polignac number, because 44268456897 - 23 = 44268456889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (44268456887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878733 + ... + 1902149.

It is an arithmetic number, because the mean of its divisors is an integer number (1565602584).

Almost surely, 244268456897 is an apocalyptic number.

It is an amenable number.

44268456897 is a deficient number, since it is larger than the sum of its proper divisors (30880467135).

44268456897 is a wasteful number, since it uses less digits than its factorization.

44268456897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24278 (or 24275 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 44268456897 in words is "forty-four billion, two hundred sixty-eight million, four hundred fifty-six thousand, eight hundred ninety-seven".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 811 2331 2433 5677 7299 17031 23417 30007 51093 70251 90021 163919 210049 210753 270063 491757 630147 866429 1475271 1890441 2599287 6065003 7797861 18195009 18991187 54585027 56973561 132938309 170920683 398814927 702673919 1196444781 2108021757 4918717433 6324065271 14756152299 44268456897