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47549112200 = 23521729072
BaseRepresentation
bin101100010010001001…
…011101111110001000
311112201210001011121122
4230102021131332020
51234340033042300
633502130254412
73302211533162
oct542211357610
9145653034548
1047549112200
1119190263847
129270127408
13463a077865
142431025932
15138461ac85
hexb1225df88

47549112200 has 108 divisors (see below), whose sum is σ = 117566879535. Its totient is φ = 17881105920.

The previous prime is 47549112187. The next prime is 47549112209. The reversal of 47549112200 is 221194574.

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 5 ways, for example, as 30961217764 + 16587894436 = 175958^2 + 128794^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=154190.

It is not an unprimeable number, because it can be changed into a prime (47549112209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52424147 + ... + 52425053.

Almost surely, 247549112200 is an apocalyptic number.

47549112200 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 47549112200

47549112200 is an abundant number, since it is smaller than the sum of its proper divisors (70017767335).

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

47549112200 is an equidigital number, since it uses as much as digits as its factorization.

47549112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 47549112200 in words is "forty-seven billion, five hundred forty-nine million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 907 1156 1445 1700 1814 2312 2890 3400 3628 4535 5780 7225 7256 9070 11560 14450 15419 18140 22675 28900 30838 36280 45350 57800 61676 77095 90700 123352 154190 181400 262123 308380 385475 524246 616760 770950 822649 1048492 1310615 1541900 1645298 2096984 2621230 3083800 3290596 4113245 5242460 6553075 6581192 8226490 10484920 13106150 13985033 16452980 20566225 26212300 27970066 32905960 41132450 52424600 55940132 69925165 82264900 111880264 139850330 164529800 237745561 279700660 349625825 475491122 559401320 699251650 950982244 1188727805 1398503300 1901964488 2377455610 2797006600 4754911220 5943639025 9509822440 11887278050 23774556100 47549112200