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132416416223 = 71358711812099
BaseRepresentation
bin111101101010010100…
…0100010100111011111
3110122210022211220111222
41323110220202213133
54132142100304343
6140455315203555
712365254652420
oct1732450424737
9418708756458
10132416416223
1151180684433
12217b5ba65bb
13c6436ba610
1465a239d647
1536a007da68
hex1ed4a229df

132416416223 has 32 divisors (see below), whose sum is σ = 163467763200. Its totient is φ = 104452202880.

The previous prime is 132416416219. The next prime is 132416416229. The reversal of 132416416223 is 322614614231.

It is a cyclic number.

It is not a de Polignac number, because 132416416223 - 22 = 132416416219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132416416229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63084428 + ... + 63086526.

It is an arithmetic number, because the mean of its divisors is an integer number (5108367600).

Almost surely, 2132416416223 is an apocalyptic number.

132416416223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132416416223 is a deficient number, since it is larger than the sum of its proper divisors (31051346977).

132416416223 is a wasteful number, since it uses less digits than its factorization.

132416416223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887.

The product of its digits is 41472, while the sum is 35.

The spelling of 132416416223 in words is "one hundred thirty-two billion, four hundred sixteen million, four hundred sixteen thousand, two hundred twenty-three".

Divisors: 1 7 13 91 587 1181 2099 4109 7631 8267 14693 15353 27287 53417 107471 191009 693247 1232113 2478919 4852729 8624791 9012211 16017469 17352433 32225947 63085477 112122283 225581629 1455125453 10185878171 18916630889 132416416223