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66083132106 = 23226313959259
BaseRepresentation
bin111101100010110111…
…001001001011001010
320022120110001221020100
4331202313021023022
52040314240211411
650205210510230
74526413232505
oct754267111312
9208513057210
1066083132106
1126031229272
1210983135376
136301b11b44
1432ac74213c
151abb80c456
hexf62dc92ca

66083132106 has 24 divisors (see below), whose sum is σ = 143724540960. Its totient is φ = 21943953576.

The previous prime is 66083132081. The next prime is 66083132107. The reversal of 66083132106 is 60123138066.

66083132106 is a `hidden beast` number, since 6 + 608 + 3 + 1 + 32 + 10 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (66083132107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6974896 + ... + 6984363.

It is an arithmetic number, because the mean of its divisors is an integer number (5988522540).

Almost surely, 266083132106 is an apocalyptic number.

66083132106 is an abundant number, since it is smaller than the sum of its proper divisors (77641408854).

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

66083132106 is a wasteful number, since it uses less digits than its factorization.

66083132106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13959530 (or 13959527 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 66083132106 in words is "sixty-six billion, eighty-three million, one hundred thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 263 526 789 1578 2367 4734 13959259 27918518 41877777 83755554 125633331 251266662 3671285117 7342570234 11013855351 22027710702 33041566053 66083132106