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326426332604416 = 2111115239513989
BaseRepresentation
bin100101000111000100000110…
…1100110011010100000000000
31120210210001102100221220210221
41022032020031212122200000
5320241132112121320131
63114130104220432424
7125520344552412502
oct11216101546324000
91523701370856727
10326426332604416
11950116a29247a0
123073b73a3a8714
131101ab42a026b5
145a87193d99d72
1527b1170c29411
hex128e20d99a800

326426332604416 has 96 divisors (see below), whose sum is σ = 712496622146400. Its totient is φ = 148278166896640.

The previous prime is 326426332604371. The next prime is 326426332604417. The reversal of 326426332604416 is 614406233624623.

It is not an unprimeable number, because it can be changed into a prime (326426332604417) 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 7 ways as a sum of consecutive naturals, for example, 29553150 + ... + 39067138.

It is an arithmetic number, because the mean of its divisors is an integer number (7421839814025).

Almost surely, 2326426332604416 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 326426332604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356248311073200).

326426332604416 is an abundant number, since it is smaller than the sum of its proper divisors (386070289541984).

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

326426332604416 is a wasteful number, since it uses less digits than its factorization.

326426332604416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515545 (or 9515525 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 52.

The spelling of 326426332604416 in words is "three hundred twenty-six trillion, four hundred twenty-six billion, three hundred thirty-two million, six hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1523 2048 2816 3046 5632 6092 11264 12184 16753 22528 24368 33506 48736 67012 97472 134024 194944 268048 389888 536096 779776 1072192 1559552 2144384 3119104 4288768 8577536 9513989 17155072 19027978 34310144 38055956 76111912 104653879 152223824 209307758 304447648 418615516 608895296 837231032 1217790592 1674462064 2435581184 3348924128 4871162368 6697848256 9742324736 13395696512 14489805247 19484649472 26791393024 28979610494 53582786048 57959220988 107165572096 115918441976 159387857717 214331144192 231836883952 318775715434 463673767904 637551430868 927347535808 1275102861736 1854695071616 2550205723472 3709390143232 5100411446944 7418780286464 10200822893888 14837560572928 20401645787776 29675121145856 40803291575552 81606583151104 163213166302208 326426332604416