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47934105120 = 25325113026143
BaseRepresentation
bin101100101001000110…
…000110011000100000
311120201121110211121200
4230221012012120200
51241132112330440
634004242121200
73314565112416
oct545106063040
9146647424550
1047934105120
1119368609710
129359050200
13469ba63515
14246a2012b6
1513a8317c30
hexb29186620

47934105120 has 144 divisors (see below), whose sum is σ = 178445659392. Its totient is φ = 11620385280.

The previous prime is 47934105073. The next prime is 47934105157. The reversal of 47934105120 is 2150143974.

47934105120 is a `hidden beast` number, since 47 + 93 + 4 + 10 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1497232 + ... + 1528911.

It is an arithmetic number, because the mean of its divisors is an integer number (1239205968).

Almost surely, 247934105120 is an apocalyptic number.

47934105120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47934105120 is an abundant number, since it is smaller than the sum of its proper divisors (130511554272).

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

47934105120 is a wasteful number, since it uses less digits than its factorization.

47934105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026175 (or 3026164 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 47934105120 in words is "forty-seven billion, nine hundred thirty-four million, one hundred five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 3026143 6052286 9078429 12104572 15130715 18156858 24209144 27235287 30261430 33287573 36313716 45392145 48418288 54470574 60522860 66575146 72627432 90784290 96836576 99862719 108941148 121045720 133150292 136176435 145254864 166437865 181568580 199725438 217882296 242091440 266300584 272352870 290509728 299588157 332875730 363137160 399450876 435764592 484182880 499313595 532601168 544705740 599176314 665751460 726274320 798901752 871529184 998627190 1065202336 1089411480 1198352628 1331502920 1452548640 1497940785 1597803504 1997254380 2178822960 2396705256 2663005840 2995881570 3195607008 3994508760 4357645920 4793410512 5326011680 5991763140 7989017520 9586821024 11983526280 15978035040 23967052560 47934105120