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38378191460 = 22572353224881
BaseRepresentation
bin100011101111100001…
…001011101001100100
310200001122100010102112
4203233201023221210
51112044304111320
625344121500152
72526022150010
oct435741135144
9120048303375
1038378191460
1115304541304
127530941658
13380808213b
141c0103b540
15ee942aec5
hex8ef84ba64

38378191460 has 96 divisors (see below), whose sum is σ = 97926216192. Its totient is φ = 12348610560.

The previous prime is 38378191459. The next prime is 38378191499. The reversal of 38378191460 is 6419187383.

38378191460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×383781914603 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38378191399 and 38378191408.

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, 58220 + ... + 283100.

It is an arithmetic number, because the mean of its divisors is an integer number (1020064752).

Almost surely, 238378191460 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 38378191460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48963108096).

38378191460 is an abundant number, since it is smaller than the sum of its proper divisors (59548024732).

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

38378191460 is a wasteful number, since it uses less digits than its factorization.

38378191460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224973 (or 224971 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 38378191460 in words is "thirty-eight billion, three hundred seventy-eight million, one hundred ninety-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 53 70 92 106 115 140 161 212 230 265 322 371 460 530 644 742 805 1060 1219 1484 1610 1855 2438 3220 3710 4876 6095 7420 8533 12190 17066 24380 34132 42665 85330 170660 224881 449762 899524 1124405 1574167 2248810 3148334 4497620 5172263 6296668 7870835 10344526 11918693 15741670 20689052 23837386 25861315 31483340 36205841 47674772 51722630 59593465 72411682 83430851 103445260 119186930 144823364 166861702 181029205 238373860 274129939 333723404 362058410 417154255 548259878 724116820 834308510 1096519756 1370649695 1668617020 1918909573 2741299390 3837819146 5482598780 7675638292 9594547865 19189095730 38378191460