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47378782125 = 3253371636983
BaseRepresentation
bin101100000111111111…
…101101011110101101
311112021220112111200100
4230013333231132231
51234012432012000
633433203421313
73265043001063
oct540777553655
9145256474610
1047378782125
11191030a6294
129223084839
1346109ab22c
142416568033
1513746c2a00
hexb07fed7ad

47378782125 has 96 divisors (see below), whose sum is σ = 88267256064. Its totient is φ = 24431414400.

The previous prime is 47378782123. The next prime is 47378782151. The reversal of 47378782125 is 52128787374.

47378782125 is a `hidden beast` number, since 473 + 7 + 87 + 82 + 12 + 5 = 666.

It is not a de Polignac number, because 47378782125 - 21 = 47378782123 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47378782123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6781384 + ... + 6788366.

It is an arithmetic number, because the mean of its divisors is an integer number (919450584).

Almost surely, 247378782125 is an apocalyptic number.

47378782125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47378782125 is a deficient number, since it is larger than the sum of its proper divisors (40888473939).

47378782125 is a wasteful number, since it uses less digits than its factorization.

47378782125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204 (or 7191 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 47378782125 in words is "forty-seven billion, three hundred seventy-eight million, seven hundred eighty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 125 163 185 225 333 375 489 555 815 925 1125 1467 1665 2445 2775 4075 4625 6031 6983 7335 8325 12225 13875 18093 20375 20949 30155 34915 36675 41625 54279 61125 62847 90465 104745 150775 174575 183375 258371 271395 314235 452325 523725 753875 775113 872875 1138229 1291855 1356975 1571175 2261625 2325339 2618625 3414687 3875565 5691145 6459275 6784875 7855875 10244061 11626695 17073435 19377825 28455725 32296375 42114473 51220305 58133475 85367175 96889125 126343419 142278625 210572365 256101525 290667375 379030257 426835875 631717095 1052861825 1280507625 1895151285 3158585475 5264309125 9475756425 15792927375 47378782125