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48385365120 = 273352800079
BaseRepresentation
bin101101000011111111…
…100001010010000000
311121220001121012222000
4231003333201102000
51243043123140440
634121122144000
73332014550301
oct550377412200
9147801535860
1048385365120
111957a305a64
1294641b2000
1347413b1881
1424b010a7a8
1513d2c54730
hexb43fe1480

48385365120 has 128 divisors (see below), whose sum is σ = 171364896000. Its totient is φ = 12902759424.

The previous prime is 48385364981. The next prime is 48385365139. The reversal of 48385365120 is 2156358384.

48385365120 is a `hidden beast` number, since 4 + 83 + 8 + 53 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×483853651202 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382760 + ... + 1417319.

It is an arithmetic number, because the mean of its divisors is an integer number (1338788250).

Almost surely, 248385365120 is an apocalyptic number.

48385365120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48385365120 is an abundant number, since it is smaller than the sum of its proper divisors (122979530880).

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

48385365120 is a wasteful number, since it uses less digits than its factorization.

48385365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800107 (or 2800089 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 48385365120 in words is "forty-eight billion, three hundred eighty-five million, three hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 2800079 5600158 8400237 11200316 14000395 16800474 22400632 25200711 28000790 33600948 42001185 44801264 50401422 56001580 67201896 75602133 84002370 89602528 100802844 112003160 126003555 134403792 151204266 168004740 179205056 201605688 224006320 252007110 268807584 302408532 336009480 358410112 378010665 403211376 448012640 504014220 537615168 604817064 672018960 756021330 806422752 896025280 1008028440 1075230336 1209634128 1344037920 1512042660 1612845504 1792050560 2016056880 2419268256 2688075840 3024085320 3225691008 4032113760 4838536512 5376151680 6048170640 8064227520 9677073024 12096341280 16128455040 24192682560 48385365120