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4426452450784 = 257132116928689
BaseRepresentation
bin100000001101001110100…
…1000000011110111100000
3120200011110002012210122101
41000122131020003313200
51040010333311411114
613225252330020144
7634541422013650
oct100323510036740
916604402183571
104426452450784
111457280013841
125b5a61b77654
13261549854800
14114354732360
157a21ed2bd74
hex4069d203de0

4426452450784 has 72 divisors (see below), whose sum is σ = 10784566936080. Its totient is φ = 1751124031488.

The previous prime is 4426452450779. The next prime is 4426452450787. The reversal of 4426452450784 is 4870542546244.

It is a super-3 number, since 3×44264524507843 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426452450787) 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 11 ways as a sum of consecutive naturals, for example, 58426489 + ... + 58502200.

It is an arithmetic number, because the mean of its divisors is an integer number (149785651890).

Almost surely, 24426452450784 is an apocalyptic number.

It is an amenable number.

4426452450784 is an abundant number, since it is smaller than the sum of its proper divisors (6358114485296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4426452450784 is a wasteful number, since it uses less digits than its factorization.

4426452450784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116928732 (or 116928711 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 55.

The spelling of 4426452450784 in words is "four trillion, four hundred twenty-six billion, four hundred fifty-two million, four hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 1183 1352 1456 2366 2704 2912 4732 5408 9464 18928 37856 116928689 233857378 467714756 818500823 935429512 1520072957 1637001646 1870859024 3040145914 3274003292 3741718048 6080291828 6548006584 10640510699 12160583656 13096013168 19760948441 21281021398 24321167312 26192026336 39521896882 42562042796 48642334624 79043793764 85124085592 138326639087 158087587528 170248171184 276653278174 316175175056 340496342368 553306556348 632350350112 1106613112696 2213226225392 4426452450784