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38112315325560 = 2333575041311551
BaseRepresentation
bin10001010101001101101110…
…00001000011110001111000
311222221111112210011212022000
420222212313001003301320
514443413010210404220
6213020320030301000
711012344463050260
oct1052466701036170
9158844483155260
1038112315325560
11111643844627a3
124336509357760
131835c8c110018
1495a90850a7a0
154615c7234390
hex22a9b7043c78

38112315325560 has 128 divisors (see below), whose sum is σ = 145189772697600. Its totient is φ = 8711386358400.

The previous prime is 38112315325531. The next prime is 38112315325573. The reversal of 38112315325560 is 6552351321183.

38112315325560 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 2 + 3 + 1 + 532 + 55 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2520648216 + ... + 2520663335.

It is an arithmetic number, because the mean of its divisors is an integer number (1134295099200).

Almost surely, 238112315325560 is an apocalyptic number.

38112315325560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38112315325560 is an abundant number, since it is smaller than the sum of its proper divisors (107077457372040).

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

38112315325560 is a wasteful number, since it uses less digits than its factorization.

38112315325560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041311578 (or 5041311568 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 38112315325560 in words is "thirty-eight trillion, one hundred twelve billion, three hundred fifteen million, three hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 5041311551 10082623102 15123934653 20165246204 25206557755 30247869306 35289180857 40330492408 45371803959 50413115510 60495738612 70578361714 75619673265 90743607918 100826231020 105867542571 120991477224 136115411877 141156723428 151239346530 176445904285 181487215836 201652462040 211735085142 226859019795 272230823754 282313446856 302478693060 317602627713 352891808570 362974431672 423470170284 453718039590 529337712855 544461647508 604957386120 635205255426 680577059385 705783617140 846940340568 907436079180 952807883139 1058675425710 1088923295016 1270410510852 1361154118770 1411567234280 1588013138565 1814872158360 1905615766278 2117350851420 2540821021704 2722308237540 3176026277130 3811231532556 4234701702840 4764039415695 5444616475080 6352052554260 7622463065112 9528078831390 12704105108520 19056157662780 38112315325560