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381317635940 = 22519260187877
BaseRepresentation
bin1011000110010000100…
…11010101111101100100
31100110020200101221110012
411203020103111331210
522221414303322230
6451101440145352
736356256266213
oct5431023257544
91313220357405
10381317635940
111377969567aa
1261a9a608258
1329c5bc34a57
1414654cad07a
159dbb6a3395
hex58c84d5f64

381317635940 has 72 divisors (see below), whose sum is σ = 846546701112. Its totient is φ = 144257241600.

The previous prime is 381317635939. The next prime is 381317635943. The reversal of 381317635940 is 49536713183.

It can be written as a sum of positive squares in 4 ways, for example, as 149733398116 + 231584237824 = 386954^2 + 481232^2 .

It is not an unprimeable number, because it can be changed into a prime (381317635943) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4295282 + ... + 4383158.

It is an arithmetic number, because the mean of its divisors is an integer number (11757593071).

Almost surely, 2381317635940 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 381317635940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423273350556).

381317635940 is an abundant number, since it is smaller than the sum of its proper divisors (465229065172).

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

381317635940 is a wasteful number, since it uses less digits than its factorization.

381317635940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88525 (or 88504 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 381317635940 in words is "three hundred eighty-one billion, three hundred seventeen million, six hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 601 722 1202 1444 1805 2404 3005 3610 6010 7220 11419 12020 22838 45676 57095 87877 114190 175754 216961 228380 351508 433922 439385 867844 878770 1084805 1669663 1757540 2169610 3339326 4339220 6678652 8348315 16696630 31723597 33393260 52814077 63447194 105628154 126894388 158617985 211256308 264070385 317235970 528140770 634471940 1003467463 1056281540 2006934926 4013869852 5017337315 10034674630 19065881797 20069349260 38131763594 76263527188 95329408985 190658817970 381317635940