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132179491017 = 3272113223473
BaseRepresentation
bin111101100011010000…
…0101111100011001001
3110122011211000212020100
41323012200233203021
54131200422203032
6140420013120013
712356350064400
oct1730640574311
9418154025210
10132179491017
1151069970a82
122174a789009
13c6065a51a2
14657cb28637
15368937d97c
hex1ec682f8c9

132179491017 has 54 divisors (see below), whose sum is σ = 224089916622. Its totient is φ = 74859531264.

The previous prime is 132179490977. The next prime is 132179491021. The reversal of 132179491017 is 710194971231.

It is a happy number.

132179491017 is a `hidden beast` number, since 132 + 17 + 9 + 491 + 0 + 17 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 863125641 + 131316365376 = 29379^2 + 362376^2 .

It is not a de Polignac number, because 132179491017 - 28 = 132179490761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132179491117) 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 53 ways as a sum of consecutive naturals, for example, 5619393 + ... + 5642865.

Almost surely, 2132179491017 is an apocalyptic number.

It is an amenable number.

132179491017 is a deficient number, since it is larger than the sum of its proper divisors (91910425605).

132179491017 is a wasteful number, since it uses less digits than its factorization.

132179491017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23719 (or 23596 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 132179491017 in words is "one hundred thirty-two billion, one hundred seventy-nine million, four hundred ninety-one thousand, seventeen".

Divisors: 1 3 7 9 21 49 63 113 147 339 441 791 1017 2373 5537 7119 12769 16611 23473 38307 49833 70419 89383 114921 164311 211257 268149 492933 625681 804447 1150177 1478799 1877043 2652449 3450531 5631129 7957347 10351593 18567143 23872041 55701429 129970001 167104287 299726737 389910003 899180211 1169730009 2098087159 2697540633 6294261477 14686610113 18882784431 44059830339 132179491017