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132689466193284 = 223271113171947594111
BaseRepresentation
bin11110001010111000101100…
…011111110111010110000100
3122101210222201001010201012100
4132022320230133313112010
5114342441011321141114
61150112411012152100
736643332445152360
oct3612705437672604
9571728631121170
10132689466193284
1139308317505820
1212a70135908630
135906741b08360
1424aa2c0d582a0
15105185697a909
hex78ae2c7f7584

132689466193284 has 2304 divisors, whose sum is σ = 521421284966400. Its totient is φ = 27285623193600.

The previous prime is 132689466193247. The next prime is 132689466193289. The reversal of 132689466193284 is 482391664986231.

132689466193284 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 89 + 466 + 1 + 9 + 3 + 2 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (132689466193289) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 32276686389 + ... + 32276690499.

It is an arithmetic number, because the mean of its divisors is an integer number (226311321600).

Almost surely, 2132689466193284 is an apocalyptic number.

132689466193284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132689466193284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260710642483200).

132689466193284 is an abundant number, since it is smaller than the sum of its proper divisors (388731818773116).

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

132689466193284 is a wasteful number, since it uses less digits than its factorization.

132689466193284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4289 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 132689466193284 in words is "one hundred thirty-two trillion, six hundred eighty-nine billion, four hundred sixty-six million, one hundred ninety-three thousand, two hundred eighty-four".