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132167216668312 = 23721811862769431
BaseRepresentation
bin11110000011010010010100…
…000000000001111010011000
3122022222001200120112000120101
4132003102110000001322120
5114310411424431341222
61145032440420305144
736560523560351200
oct3603222400017230
9568861616460511
10132167216668312
1139126890242961
12129a6a855421b4
1358994132311b7
14248ccdab9d400
151042e8c87a927
hex783494001e98

132167216668312 has 48 divisors (see below), whose sum is σ = 289865551313520. Its totient is φ = 56330147563200.

The previous prime is 132167216668283. The next prime is 132167216668321. The reversal of 132167216668312 is 213866612761231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 931313764 + ... + 931455667.

It is an arithmetic number, because the mean of its divisors is an integer number (6038865652365).

Almost surely, 2132167216668312 is an apocalyptic number.

It is an amenable number.

132167216668312 is an abundant number, since it is smaller than the sum of its proper divisors (157698334645208).

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

132167216668312 is a wasteful number, since it uses less digits than its factorization.

132167216668312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862769632 (or 1862769621 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 132167216668312 in words is "one hundred thirty-two trillion, one hundred sixty-seven billion, two hundred sixteen million, six hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 181 196 362 392 724 1267 1448 2534 5068 8869 10136 17738 35476 70952 1862769431 3725538862 7451077724 13039386017 14902155448 26078772034 52157544068 91275702119 104315088136 182551404238 337161267011 365102808476 674322534022 730205616952 1348645068044 2360128869077 2697290136088 4720257738154 9440515476308 16520902083539 18881030952616 33041804167078 66083608334156 132167216668312