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47056473200 = 24521110979749
BaseRepresentation
bin101011110100110010…
…001100110001110000
311111110110001111221202
4223310302030301300
51232332424120300
633341211310332
73254050264652
oct536462146160
9144413044852
1047056473200
1118a58174880
12915314b3a8
13458bc9c0a9
1423c58286d2
151356258ad5
hexaf4c8cc70

47056473200 has 120 divisors (see below), whose sum is σ = 123455826000. Its totient is φ = 17094092800.

The previous prime is 47056473199. The next prime is 47056473287. The reversal of 47056473200 is 237465074.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4821926 + ... + 4831674.

It is an arithmetic number, because the mean of its divisors is an integer number (1028798550).

Almost surely, 247056473200 is an apocalyptic number.

47056473200 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 47056473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61727913000).

47056473200 is an abundant number, since it is smaller than the sum of its proper divisors (76399352800).

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

47056473200 is a wasteful number, since it uses less digits than its factorization.

47056473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 47056473200 in words is "forty-seven billion, fifty-six million, four hundred seventy-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1097 1100 2194 2200 4388 4400 5485 8776 9749 10970 12067 17552 19498 21940 24134 27425 38996 43880 48268 48745 54850 60335 77992 87760 96536 97490 107239 109700 120670 155984 193072 194980 214478 219400 241340 243725 301675 389960 428956 438800 482680 487450 536195 603350 779920 857912 965360 974900 1072390 1206700 1715824 1949800 2144780 2413400 2680975 3899600 4289560 4826800 5361950 8579120 10694653 10723900 21389306 21447800 42778612 42895600 53473265 85557224 106946530 117641183 171114448 213893060 235282366 267366325 427786120 470564732 534732650 588205915 855572240 941129464 1069465300 1176411830 1882258928 2138930600 2352823660 2941029575 4277861200 4705647320 5882059150 9411294640 11764118300 23528236600 47056473200