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66130345242 = 2331327246367
BaseRepresentation
bin111101100101101011…
…001111110100011010
320022200201220121111000
4331211223033310122
52040413332021432
650214014445430
74530525442233
oct754553176432
9208621817430
1066130345242
1126055946195
1210996b03876
13630b832900
1432b4b1208a
151ac0a3657c
hexf65acfd1a

66130345242 has 48 divisors (see below), whose sum is σ = 159130241280. Its totient is φ = 20347795728.

The previous prime is 66130345189. The next prime is 66130345247. The reversal of 66130345242 is 24254303166.

66130345242 is a `hidden beast` number, since 6 + 613 + 0 + 34 + 5 + 2 + 4 + 2 = 666.

It is a super-2 number, since 2×661303452422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66130345197 and 66130345206.

It is not an unprimeable number, because it can be changed into a prime (66130345247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3614058 + ... + 3632309.

It is an arithmetic number, because the mean of its divisors is an integer number (3315213360).

Almost surely, 266130345242 is an apocalyptic number.

66130345242 is an abundant number, since it is smaller than the sum of its proper divisors (92999896038).

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

66130345242 is a wasteful number, since it uses less digits than its factorization.

66130345242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246404 (or 7246385 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 66130345242 in words is "sixty-six billion, one hundred thirty million, three hundred forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 7246367 14492734 21739101 43478202 65217303 94202771 130434606 188405542 195651909 282608313 391303818 565216626 847824939 1224636023 1695649878 2449272046 2543474817 3673908069 5086949634 7347816138 11021724207 22043448414 33065172621 66130345242