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47105040105 = 345116308741
BaseRepresentation
bin101011110111101011…
…011101111011101001
311111120211102222020000
4223313223131323221
51232432342240410
633350104253213
73255210143304
oct536753357351
9144524388200
1047105040105
1118a82626912
129167471209
1345990750c6
1423cc06bb3b
15135a64ddc0
hexaf7addee9

47105040105 has 20 divisors (see below), whose sum is σ = 84440146692. Its totient is φ = 25122687840.

The previous prime is 47105040061. The next prime is 47105040119. The reversal of 47105040105 is 50104050174.

It is a happy number.

47105040105 is a `hidden beast` number, since 47 + 10 + 504 + 0 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33287272704 + 13817767401 = 182448^2 + 117549^2 .

It is not a de Polignac number, because 47105040105 - 27 = 47105039977 is a prime.

It is a super-2 number, since 2×471050401052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58153966 + ... + 58154775.

Almost surely, 247105040105 is an apocalyptic number.

47105040105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47105040105 is a deficient number, since it is larger than the sum of its proper divisors (37335106587).

47105040105 is a wasteful number, since it uses less digits than its factorization.

47105040105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116308758 (or 116308749 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 47105040105 its reverse (50104050174), we get a palindrome (97209090279).

The spelling of 47105040105 in words is "forty-seven billion, one hundred five million, forty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 116308741 348926223 581543705 1046778669 1744631115 3140336007 5233893345 9421008021 15701680035 47105040105