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132164275201 = 7128927135399
BaseRepresentation
bin111101100010110011…
…0101100110000000001
3110122010202101211001121
41323011212230300001
54131133023301301
6140414311032241
712356103542410
oct1730546546001
9418122354047
10132164275201
1151061319122
122174566b681
13c6033a854a
14657aac7477
153687d753a1
hex1ec59acc01

132164275201 has 16 divisors (see below), whose sum is σ = 151245792000. Its totient is φ = 113133097728.

The previous prime is 132164275189. The next prime is 132164275223. The reversal of 132164275201 is 102572461231.

It is not a de Polignac number, because 132164275201 - 213 = 132164267009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132164275801) 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, 24476700 + ... + 24482098.

It is an arithmetic number, because the mean of its divisors is an integer number (9452862000).

Almost surely, 2132164275201 is an apocalyptic number.

It is an amenable number.

132164275201 is a deficient number, since it is larger than the sum of its proper divisors (19081516799).

132164275201 is a wasteful number, since it uses less digits than its factorization.

132164275201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 132164275201 in words is "one hundred thirty-two billion, one hundred sixty-four million, two hundred seventy-five thousand, two hundred one".

Divisors: 1 7 1289 2713 5399 9023 18991 37793 3497057 6959311 14647487 24479399 48715177 102532409 18880610743 132164275201