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679850314432 = 261011091138539
BaseRepresentation
bin10011110010010100011…
…11001000101011000000
32101222210221022022111021
421321022033020223000
542114313140030212
61240152515355224
7100055216216362
oct11711217105300
92358727268437
10679850314432
112423608626a3
12ab9145b2b14
134c156a73583
1424c951b6d32
1512a40120307
hex9e4a3c8ac0

679850314432 has 112 divisors (see below), whose sum is σ = 1387264586400. Its totient is φ = 330482073600.

The previous prime is 679850314427. The next prime is 679850314433. The reversal of 679850314432 is 234413058976.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 679850314432.

It is not an unprimeable number, because it can be changed into a prime (679850314433) 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 15 ways as a sum of consecutive naturals, for example, 79612819 + ... + 79621357.

It is an arithmetic number, because the mean of its divisors is an integer number (12386290950).

It is a 2-persistent number, because it is pandigital, and so is 2⋅679850314432 = 1359700628864, but 3⋅679850314432 = 2039550943296 is not.

Almost surely, 2679850314432 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 679850314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693632293200).

679850314432 is an abundant number, since it is smaller than the sum of its proper divisors (707414271968).

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

679850314432 is a wasteful number, since it uses less digits than its factorization.

679850314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 679850314432 in words is "six hundred seventy-nine billion, eight hundred fifty million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 109 113 202 218 226 404 436 452 808 872 904 1616 1744 1808 3232 3488 3616 6464 6976 7232 8539 11009 11413 12317 17078 22018 22826 24634 34156 44036 45652 49268 68312 88072 91304 98536 136624 176144 182608 197072 273248 352288 365216 394144 546496 704576 730432 788288 862439 930751 964907 1244017 1724878 1861502 1929814 2488034 3449756 3723004 3859628 4976068 6899512 7446008 7719256 9952136 13799024 14892016 15438512 19904272 27598048 29784032 30877024 39808544 55196096 59568064 61754048 79617088 94005851 97455607 105174863 188011702 194911214 210349726 376023404 389822428 420699452 752046808 779644856 841398904 1504093616 1559289712 1682797808 3008187232 3118579424 3365595616 6016374464 6237158848 6731191232 10622661163 21245322326 42490644652 84981289304 169962578608 339925157216 679850314432