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130706616042 = 23266109109841
BaseRepresentation
bin111100110111010111…
…0001010111011101010
3110111101011120001121100
41321232232022323222
54120141343203132
6140013520222230
712305013622302
oct1715656127352
9414334501540
10130706616042
1150483528232
12213b946a976
13c4303bc432
14647d286602
1535eede137c
hex1e6eb8aeea

130706616042 has 24 divisors (see below), whose sum is σ = 283204530180. Its totient is φ = 43567816320.

The previous prime is 130706616037. The next prime is 130706616059. The reversal of 130706616042 is 240616607031.

It is a happy number.

130706616042 is a `hidden beast` number, since 1 + 30 + 7 + 0 + 6 + 616 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114813223281 + 15893392761 = 338841^2 + 126069^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130706615988 and 130706616006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135042 + ... + 1244882.

Almost surely, 2130706616042 is an apocalyptic number.

130706616042 is an abundant number, since it is smaller than the sum of its proper divisors (152497914138).

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

130706616042 is a wasteful number, since it uses less digits than its factorization.

130706616042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175958 (or 175955 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 130706616042 in words is "one hundred thirty billion, seven hundred six million, six hundred sixteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 66109 109841 132218 198327 219682 329523 396654 594981 659046 988569 1189962 1977138 7261478669 14522957338 21784436007 43568872014 65353308021 130706616042