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132747464322 = 2321123722112
BaseRepresentation
bin111101110100001011…
…1011000111010000010
3110200122101202220010200
41323220113120322002
54133331322324242
6140552222510030
712406414554264
oct1735027307202
9420571686120
10132747464322
1151330534800
1221888a35316
13c697169475
1465d4335b34
1536be17204c
hex1ee85d8e82

132747464322 has 162 divisors, whose sum is σ = 326466309897. Its totient is φ = 38953807200.

The previous prime is 132747464287. The next prime is 132747464323. The reversal of 132747464322 is 223464747231.

132747464322 is a `hidden beast` number, since 13 + 274 + 7 + 46 + 4 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107099762121 + 25647702201 = 327261^2 + 160149^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=257631.

It is not an unprimeable number, because it can be changed into a prime (132747464323) 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 80 ways as a sum of consecutive naturals, for example, 629134797 + ... + 629135007.

Almost surely, 2132747464322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132747464322

132747464322 is an abundant number, since it is smaller than the sum of its proper divisors (193718845575).

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

132747464322 is a wasteful number, since it uses less digits than its factorization.

132747464322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 264 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The spelling of 132747464322 in words is "one hundred thirty-two billion, seven hundred forty-seven million, four hundred sixty-four thousand, three hundred twenty-two".