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38387525810140 = 225136718433119549
BaseRepresentation
bin10001011101001110010101…
…10101101111011111011100
312000220210220200021000210101
420232213022311233133130
520012420123101411030
6213350552542150444
711041256450424133
oct1056471265573734
9160823820230711
1038387525810140
1111260070617171
12437b914882424
131855c0b1c09c0
14969d7521691a
1546883344b7ca
hex22e9cad6f7dc

38387525810140 has 96 divisors (see below), whose sum is σ = 88116127444800. Its totient is φ = 13961431351296.

The previous prime is 38387525810093. The next prime is 38387525810159. The reversal of 38387525810140 is 4101852578383.

It is a happy number.

It is a super-3 number, since 3×383875258101403 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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, 321043086 + ... + 321162634.

It is an arithmetic number, because the mean of its divisors is an integer number (917876327550).

Almost surely, 238387525810140 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 38387525810140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44058063722400).

38387525810140 is an abundant number, since it is smaller than the sum of its proper divisors (49728601634660).

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

38387525810140 is a wasteful number, since it uses less digits than its factorization.

38387525810140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138071 (or 138069 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 38387525810140 in words is "thirty-eight trillion, three hundred eighty-seven billion, five hundred twenty-five million, eight hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 8710 17420 18433 36866 73732 92165 119549 184330 239098 239629 368660 478196 479258 597745 958516 1195490 1198145 1235011 1554137 2390980 2396290 2470022 3108274 4792580 4940044 6175055 6216548 7770685 8009783 12350110 15541370 16019566 16055143 24700220 31082740 32039132 32110286 40048915 64220572 80097830 80275715 104127179 160195660 160551430 208254358 321102860 416508716 520635895 1041271790 2082543580 2203646717 4407293434 8814586868 11018233585 22036467170 28647407321 44072934340 57294814642 114589629284 143237036605 147644330039 286474073210 295288660078 572948146420 590577320156 738221650195 1476443300390 1919376290507 2952886600780 3838752581014 7677505162028 9596881452535 19193762905070 38387525810140