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38428872574620 = 22351126618007917
BaseRepresentation
bin10001011110011011010110…
…10011001000011010011100
312001001202122012111021211210
420233031223103020122130
520014104312334341440
6213421551430544420
711044252200216033
oct1057155323103234
9161052565437753
1038428872574620
1111276658803300
124387933808110
131859a9a2a2a08
1496bd785d971a
154699532aea80
hex22f36b4c869c

38428872574620 has 144 divisors (see below), whose sum is σ = 118450944902304. Its totient is φ = 9301995225600.

The previous prime is 38428872574607. The next prime is 38428872574627. The reversal of 38428872574620 is 2647527882483.

It is a happy number.

38428872574620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38428872574627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794902 + ... + 8802818.

It is an arithmetic number, because the mean of its divisors is an integer number (822576006266).

Almost surely, 238428872574620 is an apocalyptic number.

38428872574620 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 38428872574620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59225472451152).

38428872574620 is an abundant number, since it is smaller than the sum of its proper divisors (80022072327684).

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

38428872574620 is a wasteful number, since it uses less digits than its factorization.

38428872574620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008612 (or 8008599 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 66.

The spelling of 38428872574620 in words is "thirty-eight trillion, four hundred twenty-eight billion, eight hundred seventy-two million, five hundred seventy-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 661 726 1210 1322 1452 1815 1983 2420 2644 3305 3630 3966 6610 7260 7271 7932 9915 13220 14542 19830 21813 29084 36355 39660 43626 72710 79981 87252 109065 145420 159962 218130 239943 319924 399905 436260 479886 799810 959772 1199715 1599620 2399430 4798860 8007917 16015834 24023751 32031668 40039585 48047502 80079170 88087087 96095004 120118755 160158340 176174174 240237510 264261261 352348348 440435435 480475020 528522522 880870870 968957957 1057045044 1321306305 1761741740 1937915914 2642612610 2906873871 3875831828 4844789785 5285225220 5293233137 5813747742 9689579570 10586466274 11627495484 14534369355 15879699411 19379159140 21172932548 26466165685 29068738710 31759398822 52932331370 58137477420 58225564507 63518797644 79398497055 105864662740 116451129014 158796994110 174676693521 232902258028 291127822535 317593988220 349353387042 582255645070 640481209577 698706774084 873383467605 1164511290140 1280962419154 1746766935210 1921443628731 2561924838308 3202406047885 3493533870420 3842887257462 6404812095770 7685774514924 9607218143655 12809624191540 19214436287310 38428872574620