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38148123315000 = 2335424919102059
BaseRepresentation
bin10001010110010000011010…
…10101101100101100111000
312000001220222022020012101010
420223020031111230230320
520000004324032040000
6213045001135553520
711015053025664036
oct1053101525545470
9160056868205333
1038148123315000
111117858a1011a6
12434144138b8a0
13183947785325a
1495c544061556
154624c0bb8d50
hex22b20d56cb38

38148123315000 has 160 divisors (see below), whose sum is σ = 119180687472000. Its totient is φ = 10172324976000.

The previous prime is 38148123314969. The next prime is 38148123315023. The reversal of 38148123315000 is 51332184183.

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 38148123315000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 373733971 + ... + 373836029.

It is an arithmetic number, because the mean of its divisors is an integer number (744879296700).

Almost surely, 238148123315000 is an apocalyptic number.

38148123315000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38148123315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59590343736000).

38148123315000 is an abundant number, since it is smaller than the sum of its proper divisors (81032564157000).

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

38148123315000 is a wasteful number, since it uses less digits than its factorization.

38148123315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127007 (or 126988 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 38148123315000 its reverse (51332184183), we get a palindrome (38199455499183).

The spelling of 38148123315000 in words is "thirty-eight trillion, one hundred forty-eight billion, one hundred twenty-three million, three hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 24919 49838 74757 99676 102059 124595 149514 199352 204118 249190 299028 306177 373785 408236 498380 510295 598056 612354 622975 747570 816472 996760 1020590 1224708 1245950 1495140 1530885 1868925 2041180 2449416 2491900 2551475 2990280 3061770 3114875 3737850 4082360 4983800 5102950 6123540 6229750 7475700 7654425 9344625 10205900 12247080 12459500 12757375 14951400 15308850 15574375 18689250 20411800 24919000 25514750 30617700 31148750 37378500 38272125 46723125 51029500 61235400 62297500 63786875 74757000 76544250 93446250 102059000 124595000 127573750 153088500 186892500 191360625 255147500 306177000 373785000 382721250 510295000 765442500 1530885000 2543208221 5086416442 7629624663 10172832884 12716041105 15259249326 20345665768 25432082210 30518498652 38148123315 50864164420 61036997304 63580205525 76296246630 101728328840 127160411050 152592493260 190740616575 254320822100 305184986520 317901027625 381481233150 508641644200 635802055250 762962466300 953703082875 1271604110500 1525924932600 1589505138125 1907406165750 2543208221000 3179010276250 3814812331500 4768515414375 6358020552500 7629624663000 9537030828750 12716041105000 19074061657500 38148123315000