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132006445233 = 3134378715829
BaseRepresentation
bin111101011110000110…
…0101000000010110001
3110121201202102020001020
41322330030220002301
54130322122221413
6140350512130053
712352146161625
oct1727414500261
9417652366036
10132006445233
1150a90219133
1221700836929
13c5a9797730
146563b61185
15367909ac23
hex1ebc3280b1

132006445233 has 16 divisors (see below), whose sum is σ = 193955805120. Its totient is φ = 79345554624.

The previous prime is 132006445213. The next prime is 132006445271. The reversal of 132006445233 is 332544600231.

It is a happy number.

It is not a de Polignac number, because 132006445233 - 25 = 132006445201 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132006445194 and 132006445203.

It is not an unprimeable number, because it can be changed into a prime (132006445213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39356238 + ... + 39359591.

It is an arithmetic number, because the mean of its divisors is an integer number (12122237820).

Almost surely, 2132006445233 is an apocalyptic number.

132006445233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132006445233 is a deficient number, since it is larger than the sum of its proper divisors (61949359887).

132006445233 is a wasteful number, since it uses less digits than its factorization.

132006445233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78715888.

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 132006445233 in words is "one hundred thirty-two billion, six million, four hundred forty-five thousand, two hundred thirty-three".

Divisors: 1 3 13 39 43 129 559 1677 78715829 236147487 1023305777 3069917331 3384780647 10154341941 44002148411 132006445233