Search a number
-
+
1792993306728 = 2331355760117167
BaseRepresentation
bin11010000101110110101…
…110101010100001101000
320100102000210020021020110
4122011312232222201220
5213334022241303403
63451404553054320
7243353021433621
oct32056656524150
96312023207213
101792993306728
11631449a84298
1224b5b19b73a0
13100103737860
1462ad1dcca48
153198e86b103
hex1a176baa868

1792993306728 has 128 divisors (see below), whose sum is σ = 4844284945920. Its totient is φ = 549751449600.

The previous prime is 1792993306703. The next prime is 1792993306817. The reversal of 1792993306728 is 8276033992971.

It is a Cunningham number, because it is equal to 13390272-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104435601 + ... + 104452767.

It is an arithmetic number, because the mean of its divisors is an integer number (37845976140).

Almost surely, 21792993306728 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 1792993306728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422142472960).

1792993306728 is an abundant number, since it is smaller than the sum of its proper divisors (3051291639192).

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

1792993306728 is a wasteful number, since it uses less digits than its factorization.

1792993306728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18347 (or 18343 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 1792993306728 in words is "one trillion, seven hundred ninety-two billion, nine hundred ninety-three million, three hundred six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 557 601 1114 1202 1671 1803 2228 2404 3342 3606 4456 4808 6684 7212 7241 7813 13368 14424 14482 15626 17167 21723 23439 28964 31252 34334 43446 46878 51501 57928 62504 68668 86892 93756 103002 137336 173784 187512 206004 223171 334757 412008 446342 669513 669514 892684 1004271 1339026 1339028 1785368 2008542 2678052 2678056 4017084 4351841 5356104 8034168 8703682 9562019 10317367 13055523 17407364 19124038 20634734 26111046 28686057 30952101 34814728 38248076 41269468 52222092 57372114 61904202 76496152 82538936 104444184 114744228 123808404 124306247 134125771 229488456 247616808 248612494 268251542 372918741 402377313 497224988 536503084 745837482 804754626 994449976 1073006168 1491674964 1609509252 2983349928 3219018504 5746773419 11493546838 17240320257 22987093676 34480640514 45974187352 68961281028 74708054447 137922562056 149416108894 224124163341 298832217788 448248326682 597664435576 896496653364 1792993306728