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4431797296896 = 28322976133113
BaseRepresentation
bin100000001111101101110…
…1101000001111100000000
3120200200020120111010010210
41000133123231001330000
51040102310102000041
613231534540354120
7635121032321454
oct100373355017400
916620216433123
104431797296896
111459573045832
125b6ab3b45940
13261bbbc83748
1411470051c664
157a4341a0016
hex407dbb41f00

4431797296896 has 144 divisors (see below), whose sum is σ = 11862475904160. Its totient is φ = 1468837724160.

The previous prime is 4431797296867. The next prime is 4431797296991. The reversal of 4431797296896 is 6986927971344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133822036 + ... + 133855148.

It is an arithmetic number, because the mean of its divisors is an integer number (82378304890).

Almost surely, 24431797296896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431797296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931237952080).

4431797296896 is an abundant number, since it is smaller than the sum of its proper divisors (7430678607264).

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

4431797296896 is a wasteful number, since it uses less digits than its factorization.

4431797296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34122 (or 34108 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 75.

The spelling of 4431797296896 in words is "four trillion, four hundred thirty-one billion, seven hundred ninety-seven million, two hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 687 761 768 916 1374 1522 1832 2283 2748 3044 3664 4566 5496 6088 7328 9132 10992 12176 14656 18264 21984 24352 29312 33113 36528 43968 48704 58624 66226 73056 87936 97408 99339 132452 146112 174269 175872 194816 198678 264904 292224 348538 397356 522807 529808 584448 697076 794712 1045614 1059616 1394152 1589424 2091228 2119232 2788304 3178848 4182456 4238464 5576608 6357696 7582877 8364912 8476928 11153216 12715392 15165754 16729824 22306432 22748631 25198993 25430784 30331508 33459648 44612864 45497262 50397986 60663016 66919296 75596979 90994524 100795972 121326032 133838592 151193958 181989048 201591944 242652064 302387916 363978096 403183888 485304128 604775832 727956192 806367776 970608256 1209551664 1455912384 1612735552 1941216512 2419103328 2911824768 3225471104 4838206656 5770569397 5823649536 6450942208 9676413312 11541138794 17311708191 19352826624 23082277588 34623416382 46164555176 69246832764 92329110352 138493665528 184658220704 276987331056 369316441408 553974662112 738632882816 1107949324224 1477265765632 2215898648448 4431797296896