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132459016401 = 3219774614131
BaseRepresentation
bin111101101011100101…
…1000011000011010001
3110122220022000012222100
41323113023003003101
54132234002011101
6140503440231013
712366313030245
oct1732713030321
9418808005870
10132459016401
11511a2730598
122180830b469
13c64c48481a
1465a7ccc425
1536a3b95e86
hex1ed72c30d1

132459016401 has 12 divisors (see below), whose sum is σ = 201399674320. Its totient is φ = 83658326040.

The previous prime is 132459016343. The next prime is 132459016451. The reversal of 132459016401 is 104610954231.

It is a happy number.

132459016401 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 5 + 9 + 0 + 1 + 640 + 1 = 666.

It is not a de Polignac number, because 132459016401 - 26 = 132459016337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132459016451) 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, 387306895 + ... + 387307236.

Almost surely, 2132459016401 is an apocalyptic number.

It is an amenable number.

132459016401 is a deficient number, since it is larger than the sum of its proper divisors (68940657919).

132459016401 is a wasteful number, since it uses less digits than its factorization.

132459016401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774614156 (or 774614153 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 132459016401 in words is "one hundred thirty-two billion, four hundred fifty-nine million, sixteen thousand, four hundred one".

Divisors: 1 3 9 19 57 171 774614131 2323842393 6971527179 14717668489 44153005467 132459016401