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48422720000 = 29543892
BaseRepresentation
bin101101000110001110…
…000001001000000000
311121222122220001020002
4231012032001020000
51243132204020000
634124534535132
73332650220534
oct550616011000
9147878801202
1048422720000
11195993aa266
1294748074a8
134749060455
1424b5071bc4
1513d61828d5
hexb46381200

48422720000 has 150 divisors (see below), whose sum is σ = 121211475693. Its totient is φ = 19319296000.

The previous prime is 48422719993. The next prime is 48422720023. The reversal of 48422720000 is 2722484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 13743341824 + 34679378176 = 117232^2 + 186224^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=155600.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 124479806 + ... + 124480194.

Almost surely, 248422720000 is an apocalyptic number.

48422720000 is a gapful number since it is divisible by the number (40) 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 48422720000

48422720000 is an abundant number, since it is smaller than the sum of its proper divisors (72788755693).

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

48422720000 is an frugal number, since it uses more digits than its factorization.

48422720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The spelling of 48422720000 in words is "forty-eight billion, four hundred twenty-two million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 389 400 500 512 625 640 778 800 1000 1250 1280 1556 1600 1945 2000 2500 2560 3112 3200 3890 4000 5000 6224 6400 7780 8000 9725 10000 12448 12800 15560 16000 19450 20000 24896 31120 32000 38900 40000 48625 49792 62240 64000 77800 80000 97250 99584 124480 151321 155600 160000 194500 199168 243125 248960 302642 311200 320000 389000 486250 497920 605284 622400 756605 778000 972500 995840 1210568 1244800 1513210 1556000 1945000 2421136 2489600 3026420 3112000 3783025 3890000 4842272 4979200 6052840 6224000 7566050 7780000 9684544 12105680 12448000 15132100 15560000 18915125 19369088 24211360 24896000 30264200 31120000 37830250 38738176 48422720 60528400 62240000 75660500 77476352 94575625 96845440 121056800 124480000 151321000 189151250 193690880 242113600 302642000 378302500 387381760 484227200 605284000 756605000 968454400 1210568000 1513210000 1936908800 2421136000 3026420000 4842272000 6052840000 9684544000 12105680000 24211360000 48422720000