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132727413270 = 23519563413597
BaseRepresentation
bin111101110011100101…
…0111001101000010110
3110200121000001012021010
41323213022321220112
54133311204211040
6140550225033050
712406052253354
oct1734712715026
9420530035233
10132727413270
115132018a091
1221882185786
13c692c68a3a
1465d17d67d4
1536bc510e80
hex1ee72b9a16

132727413270 has 64 divisors (see below), whose sum is σ = 335907751680. Its totient is φ = 33471497088.

The previous prime is 132727413241. The next prime is 132727413331. The reversal of 132727413270 is 72314727231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114112 + ... + 527708.

It is an arithmetic number, because the mean of its divisors is an integer number (5248558620).

Almost surely, 2132727413270 is an apocalyptic number.

132727413270 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 132727413270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167953875840).

132727413270 is an abundant number, since it is smaller than the sum of its proper divisors (203180338410).

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

132727413270 is a wasteful number, since it uses less digits than its factorization.

132727413270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414189.

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 132727413270 in words is "one hundred thirty-two billion, seven hundred twenty-seven million, four hundred thirteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 563 570 1126 1689 2815 3378 5630 8445 10697 16890 21394 32091 53485 64182 106970 160455 320910 413597 827194 1240791 2067985 2481582 4135970 6203955 7858343 12407910 15716686 23575029 39291715 47150058 78583430 117875145 232855111 235750290 465710222 698565333 1164275555 1397130666 2328551110 3492826665 4424247109 6985653330 8848494218 13272741327 22121235545 26545482654 44242471090 66363706635 132727413270