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47487385125 = 3253732892
BaseRepresentation
bin101100001110011101…
…111111111000100101
311112120110220002222200
4230032131333320211
51234223232311000
633452043245113
73300532053645
oct541635777045
9145513802880
1047487385125
1119159433334
129253519799
13462a34476b
142426b58525
15137dec6500
hexb0e77fe25

47487385125 has 108 divisors (see below), whose sum is σ = 87778802124. Its totient is φ = 24698995200.

The previous prime is 47487385063. The next prime is 47487385129. The reversal of 47487385125 is 52158378474.

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.

47487385125 is a `hidden beast` number, since 4 + 7 + 487 + 38 + 5 + 125 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 47152385316 + 334999809 = 217146^2 + 18303^2 .

It is not a de Polignac number, because 47487385125 - 214 = 47487368741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47487385129) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 533566081 + ... + 533566169.

Almost surely, 247487385125 is an apocalyptic number.

47487385125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47487385125 is a deficient number, since it is larger than the sum of its proper divisors (40291416999).

47487385125 is an frugal number, since it uses more digits than its factorization.

47487385125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 170 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 47487385125 in words is "forty-seven billion, four hundred eighty-seven million, three hundred eighty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 89 125 219 225 267 365 375 445 657 801 1095 1125 1335 1825 2225 3285 4005 5329 5475 6497 6675 7921 9125 11125 15987 16425 19491 20025 23763 26645 27375 32485 33375 39605 47961 58473 71289 79935 82125 97455 100125 118815 133225 162425 198025 239805 292365 356445 399675 474281 487275 578233 594075 666125 812125 990125 1199025 1422843 1461825 1734699 1782225 1998375 2371405 2436375 2891165 2970375 4268529 5204097 5995125 7114215 7309125 8673495 8911125 11857025 14455825 21342645 26020485 35571075 42211009 43367475 59285125 72279125 106713225 126633027 130102425 177855375 211055045 216837375 379899081 533566125 633165135 650512125 1055275225 1899495405 3165825675 5276376125 9497477025 15829128375 47487385125