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132727415370 = 2351123115115193
BaseRepresentation
bin111101110011100101…
…0111010001001001010
3110200121000001022010220
41323213022322021022
54133311204242440
6140550225050510
712406052262444
oct1734712721112
9420530038126
10132727415370
1151320190720
1221882186a36
13c692c69994
1465d17d7494
1536bc5118d0
hex1ee72ba24a

132727415370 has 128 divisors (see below), whose sum is σ = 362952327168. Its totient is φ = 30748608000.

The previous prime is 132727415363. The next prime is 132727415371. The reversal of 132727415370 is 73514727231.

It is not an unprimeable number, because it can be changed into a prime (132727415371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8728494 + ... + 8743686.

It is an arithmetic number, because the mean of its divisors is an integer number (2835565056).

Almost surely, 2132727415370 is an apocalyptic number.

132727415370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132727415370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181476163584).

132727415370 is an abundant number, since it is smaller than the sum of its proper divisors (230224911798).

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

132727415370 is a wasteful number, since it uses less digits than its factorization.

132727415370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16388.

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 132727415370 in words is "one hundred thirty-two billion, seven hundred twenty-seven million, four hundred fifteen thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1151 1265 1518 2302 2530 3453 3795 5755 6906 7590 11510 12661 15193 17265 25322 26473 30386 34530 37983 45579 52946 63305 75965 75966 79419 91158 126610 132365 151930 158838 167123 189915 227895 264730 291203 334246 349439 379830 397095 455790 501369 582406 698878 794190 835615 873609 1002738 1048317 1456015 1671230 1747195 1747218 2096634 2506845 2912030 3494390 3843829 4368045 5013690 5241585 7687658 8736090 10483170 11531487 17487143 19219145 23062974 34974286 38438290 52461429 57657435 87435715 104922858 115314870 174871430 192358573 262307145 384717146 402204289 524614290 577075719 804408578 961792865 1154151438 1206612867 1923585730 2011021445 2413225734 2885378595 4022042890 4424247179 5770757190 6033064335 8848494358 12066128670 13272741537 22121235895 26545483074 44242471790 66363707685 132727415370